Finding the Third Proportional to 35,466 and 75,030

Step by Step Solution

1. Step 1: Write the proportion equation
   35,466 : 75,030 = 75,030 : x
2. Step 2: Convert to fraction form
   35,466/75,030 = 75,030/x
3. Step 3: Cross multiply
   35,466x = 75,030 × 75,030
4. Step 4: Simplify right side
   35,466x = 5,629,500,900
5. Step 5: Solve for x
   x = 5,629,500,900/35,466
6. Step 6: Final answer
   x = 158,729.51