Finding the Third Proportional to 11,597.25 and 25,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,597.25 : 25,264.50 = 25,264.50 : x
2. Step 2: Convert to fraction form
   11,597.25/25,264.50 = 25,264.50/x
3. Step 3: Cross multiply
   11,597.25x = 25,264.50 × 25,264.50
4. Step 4: Simplify right side
   11,597.25x = 638,294,960.25
5. Step 5: Solve for x
   x = 638,294,960.25/11,597.25
6. Step 6: Final answer
   x = 55,038.48