Finding the Third Proportional to 34,820 and 75,256

Step by Step Solution

1. Step 1: Write the proportion equation
   34,820 : 75,256 = 75,256 : x
2. Step 2: Convert to fraction form
   34,820/75,256 = 75,256/x
3. Step 3: Cross multiply
   34,820x = 75,256 × 75,256
4. Step 4: Simplify right side
   34,820x = 5,663,465,536
5. Step 5: Solve for x
   x = 5,663,465,536/34,820
6. Step 6: Final answer
   x = 162,649.79