Finding the Third Proportional to 34,614 and 54,238

Step by Step Solution

1. Step 1: Write the proportion equation
   34,614 : 54,238 = 54,238 : x
2. Step 2: Convert to fraction form
   34,614/54,238 = 54,238/x
3. Step 3: Cross multiply
   34,614x = 54,238 × 54,238
4. Step 4: Simplify right side
   34,614x = 2,941,760,644
5. Step 5: Solve for x
   x = 2,941,760,644/34,614
6. Step 6: Final answer
   x = 84,987.60