Finding the Third Proportional to 8,164,142,323,867 and 17,492,788,063,594

Step by Step Solution

1. Step 1: Write the proportion equation
   8,164,142,323,867 : 17,492,788,063,594 = 17,492,788,063,594 : x
2. Step 2: Convert to fraction form
   8,164,142,323,867/17,492,788,063,594 = 17,492,788,063,594/x
3. Step 3: Cross multiply
   8,164,142,323,867x = 17,492,788,063,594 × 17,492,788,063,594
4. Step 4: Simplify right side
   8,164,142,323,867x = 305,997,634,237,816,714,077,143,040
5. Step 5: Solve for x
   x = 305,997,634,237,816,714,077,143,040/8,164,142,323,867
6. Step 6: Final answer
   x = 37,480,683,469,133.70