Finding the Third Proportional to 42,532.50 and 91,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,532.50 : 91,564.50 = 91,564.50 : x
2. Step 2: Convert to fraction form
   42,532.50/91,564.50 = 91,564.50/x
3. Step 3: Cross multiply
   42,532.50x = 91,564.50 × 91,564.50
4. Step 4: Simplify right side
   42,532.50x = 8,384,057,660.25
5. Step 5: Solve for x
   x = 8,384,057,660.25/42,532.50
6. Step 6: Final answer
   x = 197,121.21