Finding the Third Proportional to 35,188.50 and 71,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,188.50 : 71,809.50 = 71,809.50 : x
2. Step 2: Convert to fraction form
   35,188.50/71,809.50 = 71,809.50/x
3. Step 3: Cross multiply
   35,188.50x = 71,809.50 × 71,809.50
4. Step 4: Simplify right side
   35,188.50x = 5,156,604,290.25
5. Step 5: Solve for x
   x = 5,156,604,290.25/35,188.50
6. Step 6: Final answer
   x = 146,542.32