Finding the Third Proportional to 11,616.75 and 25,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,616.75 : 25,096.50 = 25,096.50 : x
2. Step 2: Convert to fraction form
   11,616.75/25,096.50 = 25,096.50/x
3. Step 3: Cross multiply
   11,616.75x = 25,096.50 × 25,096.50
4. Step 4: Simplify right side
   11,616.75x = 629,834,312.25
5. Step 5: Solve for x
   x = 629,834,312.25/11,616.75
6. Step 6: Final answer
   x = 54,217.77