Finding the Third Proportional to 10,381.50 and 16,680.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.50 : 16,680.38 = 16,680.38 : x
2. Step 2: Convert to fraction form
   10,381.50/16,680.38 = 16,680.38/x
3. Step 3: Cross multiply
   10,381.50x = 16,680.38 × 16,680.38
4. Step 4: Simplify right side
   10,381.50x = 278,234,910.14
5. Step 5: Solve for x
   x = 278,234,910.14/10,381.50
6. Step 6: Final answer
   x = 26,801.03