Finding the Third Proportional to 51,648 and 72,729

Step by Step Solution

1. Step 1: Write the proportion equation
   51,648 : 72,729 = 72,729 : x
2. Step 2: Convert to fraction form
   51,648/72,729 = 72,729/x
3. Step 3: Cross multiply
   51,648x = 72,729 × 72,729
4. Step 4: Simplify right side
   51,648x = 5,289,507,441
5. Step 5: Solve for x
   x = 5,289,507,441/51,648
6. Step 6: Final answer
   x = 102,414.56