Finding the Third Proportional to 38,960 and 55,128

Step by Step Solution

1. Step 1: Write the proportion equation
   38,960 : 55,128 = 55,128 : x
2. Step 2: Convert to fraction form
   38,960/55,128 = 55,128/x
3. Step 3: Cross multiply
   38,960x = 55,128 × 55,128
4. Step 4: Simplify right side
   38,960x = 3,039,096,384
5. Step 5: Solve for x
   x = 3,039,096,384/38,960
6. Step 6: Final answer
   x = 78,005.55