Finding the Third Proportional to 10,864 and 14,674

Step by Step Solution

1. Step 1: Write the proportion equation
   10,864 : 14,674 = 14,674 : x
2. Step 2: Convert to fraction form
   10,864/14,674 = 14,674/x
3. Step 3: Cross multiply
   10,864x = 14,674 × 14,674
4. Step 4: Simplify right side
   10,864x = 215,326,276
5. Step 5: Solve for x
   x = 215,326,276/10,864
6. Step 6: Final answer
   x = 19,820.17