Finding the Third Proportional to 35,684 and 54,866

Step by Step Solution

1. Step 1: Write the proportion equation
   35,684 : 54,866 = 54,866 : x
2. Step 2: Convert to fraction form
   35,684/54,866 = 54,866/x
3. Step 3: Cross multiply
   35,684x = 54,866 × 54,866
4. Step 4: Simplify right side
   35,684x = 3,010,277,956
5. Step 5: Solve for x
   x = 3,010,277,956/35,684
6. Step 6: Final answer
   x = 84,359.32