Finding the Third Proportional to 12,599.25 and 26,497.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,599.25 : 26,497.50 = 26,497.50 : x
2. Step 2: Convert to fraction form
   12,599.25/26,497.50 = 26,497.50/x
3. Step 3: Cross multiply
   12,599.25x = 26,497.50 × 26,497.50
4. Step 4: Simplify right side
   12,599.25x = 702,117,506.25
5. Step 5: Solve for x
   x = 702,117,506.25/12,599.25
6. Step 6: Final answer
   x = 55,726.93