Finding the Third Proportional to 38,208 and 59,040

Step by Step Solution

1. Step 1: Write the proportion equation
   38,208 : 59,040 = 59,040 : x
2. Step 2: Convert to fraction form
   38,208/59,040 = 59,040/x
3. Step 3: Cross multiply
   38,208x = 59,040 × 59,040
4. Step 4: Simplify right side
   38,208x = 3,485,721,600
5. Step 5: Solve for x
   x = 3,485,721,600/38,208
6. Step 6: Final answer
   x = 91,230.15