Finding the Third Proportional to 50,738 and 75,816

Step by Step Solution

1. Step 1: Write the proportion equation
   50,738 : 75,816 = 75,816 : x
2. Step 2: Convert to fraction form
   50,738/75,816 = 75,816/x
3. Step 3: Cross multiply
   50,738x = 75,816 × 75,816
4. Step 4: Simplify right side
   50,738x = 5,748,065,856
5. Step 5: Solve for x
   x = 5,748,065,856/50,738
6. Step 6: Final answer
   x = 113,289.17