Finding the Third Proportional to 10,563.75 and 22,952.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,563.75 : 22,952.25 = 22,952.25 : x
2. Step 2: Convert to fraction form
   10,563.75/22,952.25 = 22,952.25/x
3. Step 3: Cross multiply
   10,563.75x = 22,952.25 × 22,952.25
4. Step 4: Simplify right side
   10,563.75x = 526,805,780.06
5. Step 5: Solve for x
   x = 526,805,780.06/10,563.75
6. Step 6: Final answer
   x = 49,869.20