Finding the Third Proportional to 38,128 and 55,004

Step by Step Solution

1. Step 1: Write the proportion equation
   38,128 : 55,004 = 55,004 : x
2. Step 2: Convert to fraction form
   38,128/55,004 = 55,004/x
3. Step 3: Cross multiply
   38,128x = 55,004 × 55,004
4. Step 4: Simplify right side
   38,128x = 3,025,440,016
5. Step 5: Solve for x
   x = 3,025,440,016/38,128
6. Step 6: Final answer
   x = 79,349.56