Finding the Third Proportional to 14,658 and 31,674

Step by Step Solution

1. Step 1: Write the proportion equation
   14,658 : 31,674 = 31,674 : x
2. Step 2: Convert to fraction form
   14,658/31,674 = 31,674/x
3. Step 3: Cross multiply
   14,658x = 31,674 × 31,674
4. Step 4: Simplify right side
   14,658x = 1,003,242,276
5. Step 5: Solve for x
   x = 1,003,242,276/14,658
6. Step 6: Final answer
   x = 68,443.33