Finding the Third Proportional to 11,700 and 16,150

Step by Step Solution

1. Step 1: Write the proportion equation
   11,700 : 16,150 = 16,150 : x
2. Step 2: Convert to fraction form
   11,700/16,150 = 16,150/x
3. Step 3: Cross multiply
   11,700x = 16,150 × 16,150
4. Step 4: Simplify right side
   11,700x = 260,822,500
5. Step 5: Solve for x
   x = 260,822,500/11,700
6. Step 6: Final answer
   x = 22,292.52