Finding the Third Proportional to 10,440 and 22,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,440 : 22,513.50 = 22,513.50 : x
2. Step 2: Convert to fraction form
   10,440/22,513.50 = 22,513.50/x
3. Step 3: Cross multiply
   10,440x = 22,513.50 × 22,513.50
4. Step 4: Simplify right side
   10,440x = 506,857,682.25
5. Step 5: Solve for x
   x = 506,857,682.25/10,440
6. Step 6: Final answer
   x = 48,549.59