Finding the Third Proportional to 17,582.25 and 38,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,582.25 : 38,464.50 = 38,464.50 : x
2. Step 2: Convert to fraction form
   17,582.25/38,464.50 = 38,464.50/x
3. Step 3: Cross multiply
   17,582.25x = 38,464.50 × 38,464.50
4. Step 4: Simplify right side
   17,582.25x = 1,479,517,760.25
5. Step 5: Solve for x
   x = 1,479,517,760.25/17,582.25
6. Step 6: Final answer
   x = 84,148.37