Finding the Third Proportional to 8,164,142,324,062 and 17,492,788,063,959

Step by Step Solution

1. Step 1: Write the proportion equation
   8,164,142,324,062 : 17,492,788,063,959 = 17,492,788,063,959 : x
2. Step 2: Convert to fraction form
   8,164,142,324,062/17,492,788,063,959 = 17,492,788,063,959/x
3. Step 3: Cross multiply
   8,164,142,324,062x = 17,492,788,063,959 × 17,492,788,063,959
4. Step 4: Simplify right side
   8,164,142,324,062x = 305,997,634,250,586,476,481,871,872
5. Step 5: Solve for x
   x = 305,997,634,250,586,476,481,871,872/8,164,142,324,062
6. Step 6: Final answer
   x = 37,480,683,469,802.61