Finding the Third Proportional to 51,618 and 72,690

Step by Step Solution

1. Step 1: Write the proportion equation
   51,618 : 72,690 = 72,690 : x
2. Step 2: Convert to fraction form
   51,618/72,690 = 72,690/x
3. Step 3: Cross multiply
   51,618x = 72,690 × 72,690
4. Step 4: Simplify right side
   51,618x = 5,283,836,100
5. Step 5: Solve for x
   x = 5,283,836,100/51,618
6. Step 6: Final answer
   x = 102,364.22