Finding the Third Proportional to 35,892 and 55,494

Step by Step Solution

1. Step 1: Write the proportion equation
   35,892 : 55,494 = 55,494 : x
2. Step 2: Convert to fraction form
   35,892/55,494 = 55,494/x
3. Step 3: Cross multiply
   35,892x = 55,494 × 55,494
4. Step 4: Simplify right side
   35,892x = 3,079,584,036
5. Step 5: Solve for x
   x = 3,079,584,036/35,892
6. Step 6: Final answer
   x = 85,801.41