Finding the Third Proportional to 54,677 and 72,687

Step by Step Solution

1. Step 1: Write the proportion equation
   54,677 : 72,687 = 72,687 : x
2. Step 2: Convert to fraction form
   54,677/72,687 = 72,687/x
3. Step 3: Cross multiply
   54,677x = 72,687 × 72,687
4. Step 4: Simplify right side
   54,677x = 5,283,399,969
5. Step 5: Solve for x
   x = 5,283,399,969/54,677
6. Step 6: Final answer
   x = 96,629.30