Finding the Third Proportional to 49,708.50 and 75,286.69

Step by Step Solution

1. Step 1: Write the proportion equation
   49,708.50 : 75,286.69 = 75,286.69 : x
2. Step 2: Convert to fraction form
   49,708.50/75,286.69 = 75,286.69/x
3. Step 3: Cross multiply
   49,708.50x = 75,286.69 × 75,286.69
4. Step 4: Simplify right side
   49,708.50x = 5,668,085,314.72
5. Step 5: Solve for x
   x = 5,668,085,314.72/49,708.50
6. Step 6: Final answer
   x = 114,026.48