Finding the Third Proportional to 24,338.50 and 37,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,338.50 : 37,582.50 = 37,582.50 : x
2. Step 2: Convert to fraction form
   24,338.50/37,582.50 = 37,582.50/x
3. Step 3: Cross multiply
   24,338.50x = 37,582.50 × 37,582.50
4. Step 4: Simplify right side
   24,338.50x = 1,412,444,306.25
5. Step 5: Solve for x
   x = 1,412,444,306.25/24,338.50
6. Step 6: Final answer
   x = 58,033.33