Finding the Third Proportional to 6,895.50 and 10,291.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,895.50 : 10,291.88 = 10,291.88 : x
2. Step 2: Convert to fraction form
   6,895.50/10,291.88 = 10,291.88/x
3. Step 3: Cross multiply
   6,895.50x = 10,291.88 × 10,291.88
4. Step 4: Simplify right side
   6,895.50x = 105,922,691.02
5. Step 5: Solve for x
   x = 105,922,691.02/6,895.50
6. Step 6: Final answer
   x = 15,361.13