Finding the Third Proportional to 10,680 and 22,179

Step by Step Solution

1. Step 1: Write the proportion equation
   10,680 : 22,179 = 22,179 : x
2. Step 2: Convert to fraction form
   10,680/22,179 = 22,179/x
3. Step 3: Cross multiply
   10,680x = 22,179 × 22,179
4. Step 4: Simplify right side
   10,680x = 491,908,041
5. Step 5: Solve for x
   x = 491,908,041/10,680
6. Step 6: Final answer
   x = 46,058.81