Finding the Third Proportional to 14,566 and 34,238

Step by Step Solution

1. Step 1: Write the proportion equation
   14,566 : 34,238 = 34,238 : x
2. Step 2: Convert to fraction form
   14,566/34,238 = 34,238/x
3. Step 3: Cross multiply
   14,566x = 34,238 × 34,238
4. Step 4: Simplify right side
   14,566x = 1,172,240,644
5. Step 5: Solve for x
   x = 1,172,240,644/14,566
6. Step 6: Final answer
   x = 80,477.87