Finding the Third Proportional to 10,694 and 16,025

Step by Step Solution

1. Step 1: Write the proportion equation
   10,694 : 16,025 = 16,025 : x
2. Step 2: Convert to fraction form
   10,694/16,025 = 16,025/x
3. Step 3: Cross multiply
   10,694x = 16,025 × 16,025
4. Step 4: Simplify right side
   10,694x = 256,800,625
5. Step 5: Solve for x
   x = 256,800,625/10,694
6. Step 6: Final answer
   x = 24,013.52