Finding the Third Proportional to 39,231 and 80,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,231 : 80,527.50 = 80,527.50 : x
2. Step 2: Convert to fraction form
   39,231/80,527.50 = 80,527.50/x
3. Step 3: Cross multiply
   39,231x = 80,527.50 × 80,527.50
4. Step 4: Simplify right side
   39,231x = 6,484,678,256.25
5. Step 5: Solve for x
   x = 6,484,678,256.25/39,231
6. Step 6: Final answer
   x = 165,294.75