Finding the Third Proportional to 35,578 and 75,074

Step by Step Solution

1. Step 1: Write the proportion equation
   35,578 : 75,074 = 75,074 : x
2. Step 2: Convert to fraction form
   35,578/75,074 = 75,074/x
3. Step 3: Cross multiply
   35,578x = 75,074 × 75,074
4. Step 4: Simplify right side
   35,578x = 5,636,105,476
5. Step 5: Solve for x
   x = 5,636,105,476/35,578
6. Step 6: Final answer
   x = 158,415.47