Finding the Third Proportional to 10,165.50 and 24,517.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.50 : 24,517.69 = 24,517.69 : x
2. Step 2: Convert to fraction form
   10,165.50/24,517.69 = 24,517.69/x
3. Step 3: Cross multiply
   10,165.50x = 24,517.69 × 24,517.69
4. Step 4: Simplify right side
   10,165.50x = 601,117,000.35
5. Step 5: Solve for x
   x = 601,117,000.35/10,165.50
6. Step 6: Final answer
   x = 59,133.05