Finding the Third Proportional to 37,138.50 and 57,982.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,138.50 : 57,982.50 = 57,982.50 : x
2. Step 2: Convert to fraction form
   37,138.50/57,982.50 = 57,982.50/x
3. Step 3: Cross multiply
   37,138.50x = 57,982.50 × 57,982.50
4. Step 4: Simplify right side
   37,138.50x = 3,361,970,306.25
5. Step 5: Solve for x
   x = 3,361,970,306.25/37,138.50
6. Step 6: Final answer
   x = 90,525.20