Finding the Third Proportional to 35,549.25 and 75,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,549.25 : 75,472.50 = 75,472.50 : x
2. Step 2: Convert to fraction form
   35,549.25/75,472.50 = 75,472.50/x
3. Step 3: Cross multiply
   35,549.25x = 75,472.50 × 75,472.50
4. Step 4: Simplify right side
   35,549.25x = 5,696,098,256.25
5. Step 5: Solve for x
   x = 5,696,098,256.25/35,549.25
6. Step 6: Final answer
   x = 160,231.18