Finding the Third Proportional to 35,724 and 54,162

Step by Step Solution

1. Step 1: Write the proportion equation
   35,724 : 54,162 = 54,162 : x
2. Step 2: Convert to fraction form
   35,724/54,162 = 54,162/x
3. Step 3: Cross multiply
   35,724x = 54,162 × 54,162
4. Step 4: Simplify right side
   35,724x = 2,933,522,244
5. Step 5: Solve for x
   x = 2,933,522,244/35,724
6. Step 6: Final answer
   x = 82,116.29