Finding the Third Proportional to 11,870 and 16,702

Step by Step Solution

1. Step 1: Write the proportion equation
   11,870 : 16,702 = 16,702 : x
2. Step 2: Convert to fraction form
   11,870/16,702 = 16,702/x
3. Step 3: Cross multiply
   11,870x = 16,702 × 16,702
4. Step 4: Simplify right side
   11,870x = 278,956,804
5. Step 5: Solve for x
   x = 278,956,804/11,870
6. Step 6: Final answer
   x = 23,500.99