Finding the Third Proportional to 10,942.88 and 16,687.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,942.88 : 16,687.69 = 16,687.69 : x
2. Step 2: Convert to fraction form
   10,942.88/16,687.69 = 16,687.69/x
3. Step 3: Cross multiply
   10,942.88x = 16,687.69 × 16,687.69
4. Step 4: Simplify right side
   10,942.88x = 278,478,914.10
5. Step 5: Solve for x
   x = 278,478,914.10/10,942.88
6. Step 6: Final answer
   x = 25,448.42