Finding the Third Proportional to 21,200 and 24,416

Step by Step Solution

1. Step 1: Write the proportion equation
   21,200 : 24,416 = 24,416 : x
2. Step 2: Convert to fraction form
   21,200/24,416 = 24,416/x
3. Step 3: Cross multiply
   21,200x = 24,416 × 24,416
4. Step 4: Simplify right side
   21,200x = 596,141,056
5. Step 5: Solve for x
   x = 596,141,056/21,200
6. Step 6: Final answer
   x = 28,119.86