Finding the Third Proportional to 10,610.50 and 22,382.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,610.50 : 22,382.25 = 22,382.25 : x
2. Step 2: Convert to fraction form
   10,610.50/22,382.25 = 22,382.25/x
3. Step 3: Cross multiply
   10,610.50x = 22,382.25 × 22,382.25
4. Step 4: Simplify right side
   10,610.50x = 500,965,115.06
5. Step 5: Solve for x
   x = 500,965,115.06/10,610.50
6. Step 6: Final answer
   x = 47,214.09