Finding the Third Proportional to 11,870 and 14,033

Step by Step Solution

1. Step 1: Write the proportion equation
   11,870 : 14,033 = 14,033 : x
2. Step 2: Convert to fraction form
   11,870/14,033 = 14,033/x
3. Step 3: Cross multiply
   11,870x = 14,033 × 14,033
4. Step 4: Simplify right side
   11,870x = 196,925,089
5. Step 5: Solve for x
   x = 196,925,089/11,870
6. Step 6: Final answer
   x = 16,590.15