Finding the Third Proportional to 31,834.50 and 74,332.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,834.50 : 74,332.50 = 74,332.50 : x
2. Step 2: Convert to fraction form
   31,834.50/74,332.50 = 74,332.50/x
3. Step 3: Cross multiply
   31,834.50x = 74,332.50 × 74,332.50
4. Step 4: Simplify right side
   31,834.50x = 5,525,320,556.25
5. Step 5: Solve for x
   x = 5,525,320,556.25/31,834.50
6. Step 6: Final answer
   x = 173,563.92