Finding the Third Proportional to 11,274.50 and 16,025

Step by Step Solution

1. Step 1: Write the proportion equation
   11,274.50 : 16,025 = 16,025 : x
2. Step 2: Convert to fraction form
   11,274.50/16,025 = 16,025/x
3. Step 3: Cross multiply
   11,274.50x = 16,025 × 16,025
4. Step 4: Simplify right side
   11,274.50x = 256,800,625
5. Step 5: Solve for x
   x = 256,800,625/11,274.50
6. Step 6: Final answer
   x = 22,777.12