Finding the Third Proportional to 39,200 and 59,165

Step by Step Solution

1. Step 1: Write the proportion equation
   39,200 : 59,165 = 59,165 : x
2. Step 2: Convert to fraction form
   39,200/59,165 = 59,165/x
3. Step 3: Cross multiply
   39,200x = 59,165 × 59,165
4. Step 4: Simplify right side
   39,200x = 3,500,497,225
5. Step 5: Solve for x
   x = 3,500,497,225/39,200
6. Step 6: Final answer
   x = 89,298.40