Finding the Third Proportional to 11,874 and 16,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,874 : 16,705.50 = 16,705.50 : x
2. Step 2: Convert to fraction form
   11,874/16,705.50 = 16,705.50/x
3. Step 3: Cross multiply
   11,874x = 16,705.50 × 16,705.50
4. Step 4: Simplify right side
   11,874x = 279,073,730.25
5. Step 5: Solve for x
   x = 279,073,730.25/11,874
6. Step 6: Final answer
   x = 23,502.92