Finding the Third Proportional to 39,800 and 59,144

Step by Step Solution

1. Step 1: Write the proportion equation
   39,800 : 59,144 = 59,144 : x
2. Step 2: Convert to fraction form
   39,800/59,144 = 59,144/x
3. Step 3: Cross multiply
   39,800x = 59,144 × 59,144
4. Step 4: Simplify right side
   39,800x = 3,498,012,736
5. Step 5: Solve for x
   x = 3,498,012,736/39,800
6. Step 6: Final answer
   x = 87,889.77