Finding the Third Proportional to 38,400 and 51,648

Step by Step Solution

1. Step 1: Write the proportion equation
   38,400 : 51,648 = 51,648 : x
2. Step 2: Convert to fraction form
   38,400/51,648 = 51,648/x
3. Step 3: Cross multiply
   38,400x = 51,648 × 51,648
4. Step 4: Simplify right side
   38,400x = 2,667,515,904
5. Step 5: Solve for x
   x = 2,667,515,904/38,400
6. Step 6: Final answer
   x = 69,466.56