Finding the Third Proportional to 42,661.50 and 91,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,661.50 : 91,762.50 = 91,762.50 : x
2. Step 2: Convert to fraction form
   42,661.50/91,762.50 = 91,762.50/x
3. Step 3: Cross multiply
   42,661.50x = 91,762.50 × 91,762.50
4. Step 4: Simplify right side
   42,661.50x = 8,420,356,406.25
5. Step 5: Solve for x
   x = 8,420,356,406.25/42,661.50
6. Step 6: Final answer
   x = 197,376.00