Finding the Third Proportional to 29,481.75 and 41,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,481.75 : 41,582.50 = 41,582.50 : x
2. Step 2: Convert to fraction form
   29,481.75/41,582.50 = 41,582.50/x
3. Step 3: Cross multiply
   29,481.75x = 41,582.50 × 41,582.50
4. Step 4: Simplify right side
   29,481.75x = 1,729,104,306.25
5. Step 5: Solve for x
   x = 1,729,104,306.25/29,481.75
6. Step 6: Final answer
   x = 58,649.99