Finding the Third Proportional to 10,665 and 24,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,665 : 24,793.50 = 24,793.50 : x
2. Step 2: Convert to fraction form
   10,665/24,793.50 = 24,793.50/x
3. Step 3: Cross multiply
   10,665x = 24,793.50 × 24,793.50
4. Step 4: Simplify right side
   10,665x = 614,717,642.25
5. Step 5: Solve for x
   x = 614,717,642.25/10,665
6. Step 6: Final answer
   x = 57,638.79