Finding the Third Proportional to 12,394.50 and 17,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,394.50 : 17,761.50 = 17,761.50 : x
2. Step 2: Convert to fraction form
   12,394.50/17,761.50 = 17,761.50/x
3. Step 3: Cross multiply
   12,394.50x = 17,761.50 × 17,761.50
4. Step 4: Simplify right side
   12,394.50x = 315,470,882.25
5. Step 5: Solve for x
   x = 315,470,882.25/12,394.50
6. Step 6: Final answer
   x = 25,452.49