Finding the Third Proportional to 50,406.50 and 76,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,406.50 : 76,014.50 = 76,014.50 : x
2. Step 2: Convert to fraction form
   50,406.50/76,014.50 = 76,014.50/x
3. Step 3: Cross multiply
   50,406.50x = 76,014.50 × 76,014.50
4. Step 4: Simplify right side
   50,406.50x = 5,778,204,210.25
5. Step 5: Solve for x
   x = 5,778,204,210.25/50,406.50
6. Step 6: Final answer
   x = 114,632.13