Finding the Third Proportional to 38,800 and 59,328

Step by Step Solution

1. Step 1: Write the proportion equation
   38,800 : 59,328 = 59,328 : x
2. Step 2: Convert to fraction form
   38,800/59,328 = 59,328/x
3. Step 3: Cross multiply
   38,800x = 59,328 × 59,328
4. Step 4: Simplify right side
   38,800x = 3,519,811,584
5. Step 5: Solve for x
   x = 3,519,811,584/38,800
6. Step 6: Final answer
   x = 90,716.79