Finding the Third Proportional to 14,780 and 21,738

Step by Step Solution

1. Step 1: Write the proportion equation
   14,780 : 21,738 = 21,738 : x
2. Step 2: Convert to fraction form
   14,780/21,738 = 21,738/x
3. Step 3: Cross multiply
   14,780x = 21,738 × 21,738
4. Step 4: Simplify right side
   14,780x = 472,540,644
5. Step 5: Solve for x
   x = 472,540,644/14,780
6. Step 6: Final answer
   x = 31,971.63