Finding the Third Proportional to 16,165.50 and 24,960

Step by Step Solution

1. Step 1: Write the proportion equation
   16,165.50 : 24,960 = 24,960 : x
2. Step 2: Convert to fraction form
   16,165.50/24,960 = 24,960/x
3. Step 3: Cross multiply
   16,165.50x = 24,960 × 24,960
4. Step 4: Simplify right side
   16,165.50x = 623,001,600
5. Step 5: Solve for x
   x = 623,001,600/16,165.50
6. Step 6: Final answer
   x = 38,538.96