Finding the Third Proportional to 39,825 and 58,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,825 : 58,198.50 = 58,198.50 : x
2. Step 2: Convert to fraction form
   39,825/58,198.50 = 58,198.50/x
3. Step 3: Cross multiply
   39,825x = 58,198.50 × 58,198.50
4. Step 4: Simplify right side
   39,825x = 3,387,065,402.25
5. Step 5: Solve for x
   x = 3,387,065,402.25/39,825
6. Step 6: Final answer
   x = 85,048.72