Finding the Third Proportional to 34,338 and 75,238

Step by Step Solution

1. Step 1: Write the proportion equation
   34,338 : 75,238 = 75,238 : x
2. Step 2: Convert to fraction form
   34,338/75,238 = 75,238/x
3. Step 3: Cross multiply
   34,338x = 75,238 × 75,238
4. Step 4: Simplify right side
   34,338x = 5,660,756,644
5. Step 5: Solve for x
   x = 5,660,756,644/34,338
6. Step 6: Final answer
   x = 164,854.00