Finding the Third Proportional to 51,676 and 72,772

Step by Step Solution

1. Step 1: Write the proportion equation
   51,676 : 72,772 = 72,772 : x
2. Step 2: Convert to fraction form
   51,676/72,772 = 72,772/x
3. Step 3: Cross multiply
   51,676x = 72,772 × 72,772
4. Step 4: Simplify right side
   51,676x = 5,295,763,984
5. Step 5: Solve for x
   x = 5,295,763,984/51,676
6. Step 6: Final answer
   x = 102,480.15