Finding the Third Proportional to 51,816 and 76,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,816 : 76,629.50 = 76,629.50 : x
2. Step 2: Convert to fraction form
   51,816/76,629.50 = 76,629.50/x
3. Step 3: Cross multiply
   51,816x = 76,629.50 × 76,629.50
4. Step 4: Simplify right side
   51,816x = 5,872,080,270.25
5. Step 5: Solve for x
   x = 5,872,080,270.25/51,816
6. Step 6: Final answer
   x = 113,325.62