Finding the Third Proportional to 10,680 and 21,882

Step by Step Solution

1. Step 1: Write the proportion equation
   10,680 : 21,882 = 21,882 : x
2. Step 2: Convert to fraction form
   10,680/21,882 = 21,882/x
3. Step 3: Cross multiply
   10,680x = 21,882 × 21,882
4. Step 4: Simplify right side
   10,680x = 478,821,924
5. Step 5: Solve for x
   x = 478,821,924/10,680
6. Step 6: Final answer
   x = 44,833.51