Finding the Third Proportional to 10,419 and 22,500

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419 : 22,500 = 22,500 : x
2. Step 2: Convert to fraction form
   10,419/22,500 = 22,500/x
3. Step 3: Cross multiply
   10,419x = 22,500 × 22,500
4. Step 4: Simplify right side
   10,419x = 506,250,000
5. Step 5: Solve for x
   x = 506,250,000/10,419
6. Step 6: Final answer
   x = 48,589.12