Finding the Third Proportional to 11,700 and 16,730

Step by Step Solution

1. Step 1: Write the proportion equation
   11,700 : 16,730 = 16,730 : x
2. Step 2: Convert to fraction form
   11,700/16,730 = 16,730/x
3. Step 3: Cross multiply
   11,700x = 16,730 × 16,730
4. Step 4: Simplify right side
   11,700x = 279,892,900
5. Step 5: Solve for x
   x = 279,892,900/11,700
6. Step 6: Final answer
   x = 23,922.47