Finding the Third Proportional to 38,142 and 78,928

Step by Step Solution

1. Step 1: Write the proportion equation
   38,142 : 78,928 = 78,928 : x
2. Step 2: Convert to fraction form
   38,142/78,928 = 78,928/x
3. Step 3: Cross multiply
   38,142x = 78,928 × 78,928
4. Step 4: Simplify right side
   38,142x = 6,229,629,184
5. Step 5: Solve for x
   x = 6,229,629,184/38,142
6. Step 6: Final answer
   x = 163,327.28