Finding the Third Proportional to 10,816.88 and 16,677.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,816.88 : 16,677.56 = 16,677.56 : x
2. Step 2: Convert to fraction form
   10,816.88/16,677.56 = 16,677.56/x
3. Step 3: Cross multiply
   10,816.88x = 16,677.56 × 16,677.56
4. Step 4: Simplify right side
   10,816.88x = 278,141,090.94
5. Step 5: Solve for x
   x = 278,141,090.94/10,816.88
6. Step 6: Final answer
   x = 25,713.63