Finding the Third Proportional to 6,291.42 and 9,256.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,291.42 : 9,256.78 = 9,256.78 : x
2. Step 2: Convert to fraction form
   6,291.42/9,256.78 = 9,256.78/x
3. Step 3: Cross multiply
   6,291.42x = 9,256.78 × 9,256.78
4. Step 4: Simplify right side
   6,291.42x = 85,687,999.11
5. Step 5: Solve for x
   x = 85,687,999.11/6,291.42
6. Step 6: Final answer
   x = 13,619.81