Finding the Third Proportional to 35,714 and 75,404

Step by Step Solution

1. Step 1: Write the proportion equation
   35,714 : 75,404 = 75,404 : x
2. Step 2: Convert to fraction form
   35,714/75,404 = 75,404/x
3. Step 3: Cross multiply
   35,714x = 75,404 × 75,404
4. Step 4: Simplify right side
   35,714x = 5,685,763,216
5. Step 5: Solve for x
   x = 5,685,763,216/35,714
6. Step 6: Final answer
   x = 159,202.64