Finding the Third Proportional to 10,489.50 and 22,619.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,489.50 : 22,619.25 = 22,619.25 : x
2. Step 2: Convert to fraction form
   10,489.50/22,619.25 = 22,619.25/x
3. Step 3: Cross multiply
   10,489.50x = 22,619.25 × 22,619.25
4. Step 4: Simplify right side
   10,489.50x = 511,630,470.56
5. Step 5: Solve for x
   x = 511,630,470.56/10,489.50
6. Step 6: Final answer
   x = 48,775.49