Finding the Third Proportional to 38,064 and 57,760

Step by Step Solution

1. Step 1: Write the proportion equation
   38,064 : 57,760 = 57,760 : x
2. Step 2: Convert to fraction form
   38,064/57,760 = 57,760/x
3. Step 3: Cross multiply
   38,064x = 57,760 × 57,760
4. Step 4: Simplify right side
   38,064x = 3,336,217,600
5. Step 5: Solve for x
   x = 3,336,217,600/38,064
6. Step 6: Final answer
   x = 87,647.58