Finding the Third Proportional to 74,932 and 82,404

Step by Step Solution

1. Step 1: Write the proportion equation
   74,932 : 82,404 = 82,404 : x
2. Step 2: Convert to fraction form
   74,932/82,404 = 82,404/x
3. Step 3: Cross multiply
   74,932x = 82,404 × 82,404
4. Step 4: Simplify right side
   74,932x = 6,790,419,216
5. Step 5: Solve for x
   x = 6,790,419,216/74,932
6. Step 6: Final answer
   x = 90,621.09