Finding the Third Proportional to 37,942 and 79,004

Step by Step Solution

1. Step 1: Write the proportion equation
   37,942 : 79,004 = 79,004 : x
2. Step 2: Convert to fraction form
   37,942/79,004 = 79,004/x
3. Step 3: Cross multiply
   37,942x = 79,004 × 79,004
4. Step 4: Simplify right side
   37,942x = 6,241,632,016
5. Step 5: Solve for x
   x = 6,241,632,016/37,942
6. Step 6: Final answer
   x = 164,504.56