Finding the Third Proportional to 14,339.50 and 33,738

Step by Step Solution

1. Step 1: Write the proportion equation
   14,339.50 : 33,738 = 33,738 : x
2. Step 2: Convert to fraction form
   14,339.50/33,738 = 33,738/x
3. Step 3: Cross multiply
   14,339.50x = 33,738 × 33,738
4. Step 4: Simplify right side
   14,339.50x = 1,138,252,644
5. Step 5: Solve for x
   x = 1,138,252,644/14,339.50
6. Step 6: Final answer
   x = 79,378.82