Finding the Third Proportional to 36,517.50 and 76,724.63

Step by Step Solution

1. Step 1: Write the proportion equation
   36,517.50 : 76,724.63 = 76,724.63 : x
2. Step 2: Convert to fraction form
   36,517.50/76,724.63 = 76,724.63/x
3. Step 3: Cross multiply
   36,517.50x = 76,724.63 × 76,724.63
4. Step 4: Simplify right side
   36,517.50x = 5,886,668,081.39
5. Step 5: Solve for x
   x = 5,886,668,081.39/36,517.50
6. Step 6: Final answer
   x = 161,201.29