Finding the Third Proportional to 42,004 and 85,928

Step by Step Solution

1. Step 1: Write the proportion equation
   42,004 : 85,928 = 85,928 : x
2. Step 2: Convert to fraction form
   42,004/85,928 = 85,928/x
3. Step 3: Cross multiply
   42,004x = 85,928 × 85,928
4. Step 4: Simplify right side
   42,004x = 7,383,621,184
5. Step 5: Solve for x
   x = 7,383,621,184/42,004
6. Step 6: Final answer
   x = 175,783.76