Finding the Third Proportional to 14,576 and 34,240

Step by Step Solution

1. Step 1: Write the proportion equation
   14,576 : 34,240 = 34,240 : x
2. Step 2: Convert to fraction form
   14,576/34,240 = 34,240/x
3. Step 3: Cross multiply
   14,576x = 34,240 × 34,240
4. Step 4: Simplify right side
   14,576x = 1,172,377,600
5. Step 5: Solve for x
   x = 1,172,377,600/14,576
6. Step 6: Final answer
   x = 80,432.05