Finding the Third Proportional to 42,531 and 91,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,531 : 91,561.50 = 91,561.50 : x
2. Step 2: Convert to fraction form
   42,531/91,561.50 = 91,561.50/x
3. Step 3: Cross multiply
   42,531x = 91,561.50 × 91,561.50
4. Step 4: Simplify right side
   42,531x = 8,383,508,282.25
5. Step 5: Solve for x
   x = 8,383,508,282.25/42,531
6. Step 6: Final answer
   x = 197,115.24