Finding the Third Proportional to 10,507.50 and 22,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,507.50 : 22,609.50 = 22,609.50 : x
2. Step 2: Convert to fraction form
   10,507.50/22,609.50 = 22,609.50/x
3. Step 3: Cross multiply
   10,507.50x = 22,609.50 × 22,609.50
4. Step 4: Simplify right side
   10,507.50x = 511,189,490.25
5. Step 5: Solve for x
   x = 511,189,490.25/10,507.50
6. Step 6: Final answer
   x = 48,649.96