Finding the Third Proportional to 42,002 and 85,924

Step by Step Solution

1. Step 1: Write the proportion equation
   42,002 : 85,924 = 85,924 : x
2. Step 2: Convert to fraction form
   42,002/85,924 = 85,924/x
3. Step 3: Cross multiply
   42,002x = 85,924 × 85,924
4. Step 4: Simplify right side
   42,002x = 7,382,933,776
5. Step 5: Solve for x
   x = 7,382,933,776/42,002
6. Step 6: Final answer
   x = 175,775.77