Finding the Third Proportional to 22,384 and 34,274

Step by Step Solution

1. Step 1: Write the proportion equation
   22,384 : 34,274 = 34,274 : x
2. Step 2: Convert to fraction form
   22,384/34,274 = 34,274/x
3. Step 3: Cross multiply
   22,384x = 34,274 × 34,274
4. Step 4: Simplify right side
   22,384x = 1,174,707,076
5. Step 5: Solve for x
   x = 1,174,707,076/22,384
6. Step 6: Final answer
   x = 52,479.77