Finding the Third Proportional to 35,874 and 76,482

Step by Step Solution

1. Step 1: Write the proportion equation
   35,874 : 76,482 = 76,482 : x
2. Step 2: Convert to fraction form
   35,874/76,482 = 76,482/x
3. Step 3: Cross multiply
   35,874x = 76,482 × 76,482
4. Step 4: Simplify right side
   35,874x = 5,849,496,324
5. Step 5: Solve for x
   x = 5,849,496,324/35,874
6. Step 6: Final answer
   x = 163,056.71