Finding the Third Proportional to 6,655.50 and 10,256.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,655.50 : 10,256.63 = 10,256.63 : x
2. Step 2: Convert to fraction form
   6,655.50/10,256.63 = 10,256.63/x
3. Step 3: Cross multiply
   6,655.50x = 10,256.63 × 10,256.63
4. Step 4: Simplify right side
   6,655.50x = 105,198,356.39
5. Step 5: Solve for x
   x = 105,198,356.39/6,655.50
6. Step 6: Final answer
   x = 15,806.23