Finding the Third Proportional to 10,563.50 and 22,422.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,563.50 : 22,422.75 = 22,422.75 : x
2. Step 2: Convert to fraction form
   10,563.50/22,422.75 = 22,422.75/x
3. Step 3: Cross multiply
   10,563.50x = 22,422.75 × 22,422.75
4. Step 4: Simplify right side
   10,563.50x = 502,779,717.56
5. Step 5: Solve for x
   x = 502,779,717.56/10,563.50
6. Step 6: Final answer
   x = 47,595.94