Finding the Third Proportional to 38,736 and 57,960

Step by Step Solution

1. Step 1: Write the proportion equation
   38,736 : 57,960 = 57,960 : x
2. Step 2: Convert to fraction form
   38,736/57,960 = 57,960/x
3. Step 3: Cross multiply
   38,736x = 57,960 × 57,960
4. Step 4: Simplify right side
   38,736x = 3,359,361,600
5. Step 5: Solve for x
   x = 3,359,361,600/38,736
6. Step 6: Final answer
   x = 86,724.54