Finding the Third Proportional to 51,744 and 82,064

Step by Step Solution

1. Step 1: Write the proportion equation
   51,744 : 82,064 = 82,064 : x
2. Step 2: Convert to fraction form
   51,744/82,064 = 82,064/x
3. Step 3: Cross multiply
   51,744x = 82,064 × 82,064
4. Step 4: Simplify right side
   51,744x = 6,734,500,096
5. Step 5: Solve for x
   x = 6,734,500,096/51,744
6. Step 6: Final answer
   x = 130,150.36