Finding the Third Proportional to 10,609.50 and 22,862.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,609.50 : 22,862.25 = 22,862.25 : x
2. Step 2: Convert to fraction form
   10,609.50/22,862.25 = 22,862.25/x
3. Step 3: Cross multiply
   10,609.50x = 22,862.25 × 22,862.25
4. Step 4: Simplify right side
   10,609.50x = 522,682,475.06
5. Step 5: Solve for x
   x = 522,682,475.06/10,609.50
6. Step 6: Final answer
   x = 49,265.51