Finding the Third Proportional to 8,164,142,324,060 and 17,492,788,063,952

Step by Step Solution

1. Step 1: Write the proportion equation
   8,164,142,324,060 : 17,492,788,063,952 = 17,492,788,063,952 : x
2. Step 2: Convert to fraction form
   8,164,142,324,060/17,492,788,063,952 = 17,492,788,063,952/x
3. Step 3: Cross multiply
   8,164,142,324,060x = 17,492,788,063,952 × 17,492,788,063,952
4. Step 4: Simplify right side
   8,164,142,324,060x = 305,997,634,250,341,560,266,784,768
5. Step 5: Solve for x
   x = 305,997,634,250,341,560,266,784,768/8,164,142,324,060
6. Step 6: Final answer
   x = 37,480,683,469,781.80