Finding the Third Proportional to 50,409 and 76,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,409 : 76,003.50 = 76,003.50 : x
2. Step 2: Convert to fraction form
   50,409/76,003.50 = 76,003.50/x
3. Step 3: Cross multiply
   50,409x = 76,003.50 × 76,003.50
4. Step 4: Simplify right side
   50,409x = 5,776,532,012.25
5. Step 5: Solve for x
   x = 5,776,532,012.25/50,409
6. Step 6: Final answer
   x = 114,593.27