Finding the Third Proportional to 10,521 and 24,156

Step by Step Solution

1. Step 1: Write the proportion equation
   10,521 : 24,156 = 24,156 : x
2. Step 2: Convert to fraction form
   10,521/24,156 = 24,156/x
3. Step 3: Cross multiply
   10,521x = 24,156 × 24,156
4. Step 4: Simplify right side
   10,521x = 583,512,336
5. Step 5: Solve for x
   x = 583,512,336/10,521
6. Step 6: Final answer
   x = 55,461.68