Finding the Third Proportional to 12,521.25 and 26,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,521.25 : 26,257.50 = 26,257.50 : x
2. Step 2: Convert to fraction form
   12,521.25/26,257.50 = 26,257.50/x
3. Step 3: Cross multiply
   12,521.25x = 26,257.50 × 26,257.50
4. Step 4: Simplify right side
   12,521.25x = 689,456,306.25
5. Step 5: Solve for x
   x = 689,456,306.25/12,521.25
6. Step 6: Final answer
   x = 55,062.90