Finding the Third Proportional to 11,658 and 25,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,658 : 25,291.50 = 25,291.50 : x
2. Step 2: Convert to fraction form
   11,658/25,291.50 = 25,291.50/x
3. Step 3: Cross multiply
   11,658x = 25,291.50 × 25,291.50
4. Step 4: Simplify right side
   11,658x = 639,659,972.25
5. Step 5: Solve for x
   x = 639,659,972.25/11,658
6. Step 6: Final answer
   x = 54,868.76