Finding the Third Proportional to 6,811.31 and 10,256.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,811.31 : 10,256.06 = 10,256.06 : x
2. Step 2: Convert to fraction form
   6,811.31/10,256.06 = 10,256.06/x
3. Step 3: Cross multiply
   6,811.31x = 10,256.06 × 10,256.06
4. Step 4: Simplify right side
   6,811.31x = 105,186,818.00
5. Step 5: Solve for x
   x = 105,186,818.00/6,811.31
6. Step 6: Final answer
   x = 15,442.96