Finding the Third Proportional to 14,967 and 31,374

Step by Step Solution

1. Step 1: Write the proportion equation
   14,967 : 31,374 = 31,374 : x
2. Step 2: Convert to fraction form
   14,967/31,374 = 31,374/x
3. Step 3: Cross multiply
   14,967x = 31,374 × 31,374
4. Step 4: Simplify right side
   14,967x = 984,327,876
5. Step 5: Solve for x
   x = 984,327,876/14,967
6. Step 6: Final answer
   x = 65,766.54