Finding the Third Proportional to 10,680 and 22,812

Step by Step Solution

1. Step 1: Write the proportion equation
   10,680 : 22,812 = 22,812 : x
2. Step 2: Convert to fraction form
   10,680/22,812 = 22,812/x
3. Step 3: Cross multiply
   10,680x = 22,812 × 22,812
4. Step 4: Simplify right side
   10,680x = 520,387,344
5. Step 5: Solve for x
   x = 520,387,344/10,680
6. Step 6: Final answer
   x = 48,725.41