Finding the Third Proportional to 51,786 and 76,950

Step by Step Solution

1. Step 1: Write the proportion equation
   51,786 : 76,950 = 76,950 : x
2. Step 2: Convert to fraction form
   51,786/76,950 = 76,950/x
3. Step 3: Cross multiply
   51,786x = 76,950 × 76,950
4. Step 4: Simplify right side
   51,786x = 5,921,302,500
5. Step 5: Solve for x
   x = 5,921,302,500/51,786
6. Step 6: Final answer
   x = 114,341.76