Finding the Third Proportional to 36,200.25 and 76,342.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,200.25 : 76,342.50 = 76,342.50 : x
2. Step 2: Convert to fraction form
   36,200.25/76,342.50 = 76,342.50/x
3. Step 3: Cross multiply
   36,200.25x = 76,342.50 × 76,342.50
4. Step 4: Simplify right side
   36,200.25x = 5,828,177,306.25
5. Step 5: Solve for x
   x = 5,828,177,306.25/36,200.25
6. Step 6: Final answer
   x = 160,998.26