Finding the Third Proportional to 49,686 and 76,758

Step by Step Solution

1. Step 1: Write the proportion equation
   49,686 : 76,758 = 76,758 : x
2. Step 2: Convert to fraction form
   49,686/76,758 = 76,758/x
3. Step 3: Cross multiply
   49,686x = 76,758 × 76,758
4. Step 4: Simplify right side
   49,686x = 5,891,790,564
5. Step 5: Solve for x
   x = 5,891,790,564/49,686
6. Step 6: Final answer
   x = 118,580.50