Finding the Third Proportional to 10,614.50 and 22,261.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,614.50 : 22,261.75 = 22,261.75 : x
2. Step 2: Convert to fraction form
   10,614.50/22,261.75 = 22,261.75/x
3. Step 3: Cross multiply
   10,614.50x = 22,261.75 × 22,261.75
4. Step 4: Simplify right side
   10,614.50x = 495,585,513.06
5. Step 5: Solve for x
   x = 495,585,513.06/10,614.50
6. Step 6: Final answer
   x = 46,689.48