Finding the Third Proportional to 36,499 and 55,734

Step by Step Solution

1. Step 1: Write the proportion equation
   36,499 : 55,734 = 55,734 : x
2. Step 2: Convert to fraction form
   36,499/55,734 = 55,734/x
3. Step 3: Cross multiply
   36,499x = 55,734 × 55,734
4. Step 4: Simplify right side
   36,499x = 3,106,278,756
5. Step 5: Solve for x
   x = 3,106,278,756/36,499
6. Step 6: Final answer
   x = 85,105.86