Finding the Third Proportional to 35,892 and 54,486

Step by Step Solution

1. Step 1: Write the proportion equation
   35,892 : 54,486 = 54,486 : x
2. Step 2: Convert to fraction form
   35,892/54,486 = 54,486/x
3. Step 3: Cross multiply
   35,892x = 54,486 × 54,486
4. Step 4: Simplify right side
   35,892x = 2,968,724,196
5. Step 5: Solve for x
   x = 2,968,724,196/35,892
6. Step 6: Final answer
   x = 82,712.70