Finding the Third Proportional to 49,478 and 76,738

Step by Step Solution

1. Step 1: Write the proportion equation
   49,478 : 76,738 = 76,738 : x
2. Step 2: Convert to fraction form
   49,478/76,738 = 76,738/x
3. Step 3: Cross multiply
   49,478x = 76,738 × 76,738
4. Step 4: Simplify right side
   49,478x = 5,888,720,644
5. Step 5: Solve for x
   x = 5,888,720,644/49,478
6. Step 6: Final answer
   x = 119,016.95