Finding the Third Proportional to 35,635 and 75,274

Step by Step Solution

1. Step 1: Write the proportion equation
   35,635 : 75,274 = 75,274 : x
2. Step 2: Convert to fraction form
   35,635/75,274 = 75,274/x
3. Step 3: Cross multiply
   35,635x = 75,274 × 75,274
4. Step 4: Simplify right side
   35,635x = 5,666,175,076
5. Step 5: Solve for x
   x = 5,666,175,076/35,635
6. Step 6: Final answer
   x = 159,005.90