Finding the Third Proportional to 12,820 and 14,674

Step by Step Solution

1. Step 1: Write the proportion equation
   12,820 : 14,674 = 14,674 : x
2. Step 2: Convert to fraction form
   12,820/14,674 = 14,674/x
3. Step 3: Cross multiply
   12,820x = 14,674 × 14,674
4. Step 4: Simplify right side
   12,820x = 215,326,276
5. Step 5: Solve for x
   x = 215,326,276/12,820
6. Step 6: Final answer
   x = 16,796.12