Finding the Third Proportional to 10,093 and 16,680

Step by Step Solution

1. Step 1: Write the proportion equation
   10,093 : 16,680 = 16,680 : x
2. Step 2: Convert to fraction form
   10,093/16,680 = 16,680/x
3. Step 3: Cross multiply
   10,093x = 16,680 × 16,680
4. Step 4: Simplify right side
   10,093x = 278,222,400
5. Step 5: Solve for x
   x = 278,222,400/10,093
6. Step 6: Final answer
   x = 27,565.88