Finding the Third Proportional to 6,877.41 and 10,381.92

Step by Step Solution

1. Step 1: Write the proportion equation
   6,877.41 : 10,381.92 = 10,381.92 : x
2. Step 2: Convert to fraction form
   6,877.41/10,381.92 = 10,381.92/x
3. Step 3: Cross multiply
   6,877.41x = 10,381.92 × 10,381.92
4. Step 4: Simplify right side
   6,877.41x = 107,784,301.82
5. Step 5: Solve for x
   x = 107,784,301.82/6,877.41
6. Step 6: Final answer
   x = 15,672.23