Finding the Third Proportional to 35,849 and 74,002

Step by Step Solution

1. Step 1: Write the proportion equation
   35,849 : 74,002 = 74,002 : x
2. Step 2: Convert to fraction form
   35,849/74,002 = 74,002/x
3. Step 3: Cross multiply
   35,849x = 74,002 × 74,002
4. Step 4: Simplify right side
   35,849x = 5,476,296,004
5. Step 5: Solve for x
   x = 5,476,296,004/35,849
6. Step 6: Final answer
   x = 152,760.08