Finding the Third Proportional to 12,506.25 and 17,589.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,506.25 : 17,589.38 = 17,589.38 : x
2. Step 2: Convert to fraction form
   12,506.25/17,589.38 = 17,589.38/x
3. Step 3: Cross multiply
   12,506.25x = 17,589.38 × 17,589.38
4. Step 4: Simplify right side
   12,506.25x = 309,386,112.89
5. Step 5: Solve for x
   x = 309,386,112.89/12,506.25
6. Step 6: Final answer
   x = 24,738.52