Finding the Third Proportional to 10,815.75 and 16,426.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,815.75 : 16,426.69 = 16,426.69 : x
2. Step 2: Convert to fraction form
   10,815.75/16,426.69 = 16,426.69/x
3. Step 3: Cross multiply
   10,815.75x = 16,426.69 × 16,426.69
4. Step 4: Simplify right side
   10,815.75x = 269,836,062.22
5. Step 5: Solve for x
   x = 269,836,062.22/10,815.75
6. Step 6: Final answer
   x = 24,948.44