Finding the Third Proportional to 11,785.50 and 24,880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,785.50 : 24,880.50 = 24,880.50 : x
2. Step 2: Convert to fraction form
   11,785.50/24,880.50 = 24,880.50/x
3. Step 3: Cross multiply
   11,785.50x = 24,880.50 × 24,880.50
4. Step 4: Simplify right side
   11,785.50x = 619,039,280.25
5. Step 5: Solve for x
   x = 619,039,280.25/11,785.50
6. Step 6: Final answer
   x = 52,525.50