Finding the Third Proportional to 10,440 and 16,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,440 : 16,024.50 = 16,024.50 : x
2. Step 2: Convert to fraction form
   10,440/16,024.50 = 16,024.50/x
3. Step 3: Cross multiply
   10,440x = 16,024.50 × 16,024.50
4. Step 4: Simplify right side
   10,440x = 256,784,600.25
5. Step 5: Solve for x
   x = 256,784,600.25/10,440
6. Step 6: Final answer
   x = 24,596.23