Finding the Third Proportional to 10,589.06 and 22,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,589.06 : 22,585.50 = 22,585.50 : x
2. Step 2: Convert to fraction form
   10,589.06/22,585.50 = 22,585.50/x
3. Step 3: Cross multiply
   10,589.06x = 22,585.50 × 22,585.50
4. Step 4: Simplify right side
   10,589.06x = 510,104,810.25
5. Step 5: Solve for x
   x = 510,104,810.25/10,589.06
6. Step 6: Final answer
   x = 48,172.80