Finding the Third Proportional to 35,754 and 76,256

Step by Step Solution

1. Step 1: Write the proportion equation
   35,754 : 76,256 = 76,256 : x
2. Step 2: Convert to fraction form
   35,754/76,256 = 76,256/x
3. Step 3: Cross multiply
   35,754x = 76,256 × 76,256
4. Step 4: Simplify right side
   35,754x = 5,814,977,536
5. Step 5: Solve for x
   x = 5,814,977,536/35,754
6. Step 6: Final answer
   x = 162,638.52