Finding the Third Proportional to 11,848.50 and 25,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,848.50 : 25,597.50 = 25,597.50 : x
2. Step 2: Convert to fraction form
   11,848.50/25,597.50 = 25,597.50/x
3. Step 3: Cross multiply
   11,848.50x = 25,597.50 × 25,597.50
4. Step 4: Simplify right side
   11,848.50x = 655,232,006.25
5. Step 5: Solve for x
   x = 655,232,006.25/11,848.50
6. Step 6: Final answer
   x = 55,300.84