Finding the Third Proportional to 35,084 and 53,002

Step by Step Solution

1. Step 1: Write the proportion equation
   35,084 : 53,002 = 53,002 : x
2. Step 2: Convert to fraction form
   35,084/53,002 = 53,002/x
3. Step 3: Cross multiply
   35,084x = 53,002 × 53,002
4. Step 4: Simplify right side
   35,084x = 2,809,212,004
5. Step 5: Solve for x
   x = 2,809,212,004/35,084
6. Step 6: Final answer
   x = 80,071.03