Finding the Third Proportional to 32,978 and 48,738

Step by Step Solution

1. Step 1: Write the proportion equation
   32,978 : 48,738 = 48,738 : x
2. Step 2: Convert to fraction form
   32,978/48,738 = 48,738/x
3. Step 3: Cross multiply
   32,978x = 48,738 × 48,738
4. Step 4: Simplify right side
   32,978x = 2,375,392,644
5. Step 5: Solve for x
   x = 2,375,392,644/32,978
6. Step 6: Final answer
   x = 72,029.62