Finding the Third Proportional to 11,500 and 24,414

Step by Step Solution

1. Step 1: Write the proportion equation
   11,500 : 24,414 = 24,414 : x
2. Step 2: Convert to fraction form
   11,500/24,414 = 24,414/x
3. Step 3: Cross multiply
   11,500x = 24,414 × 24,414
4. Step 4: Simplify right side
   11,500x = 596,043,396
5. Step 5: Solve for x
   x = 596,043,396/11,500
6. Step 6: Final answer
   x = 51,829.86