Finding the Third Proportional to 22,564 and 34,314

Step by Step Solution

1. Step 1: Write the proportion equation
   22,564 : 34,314 = 34,314 : x
2. Step 2: Convert to fraction form
   22,564/34,314 = 34,314/x
3. Step 3: Cross multiply
   22,564x = 34,314 × 34,314
4. Step 4: Simplify right side
   22,564x = 1,177,450,596
5. Step 5: Solve for x
   x = 1,177,450,596/22,564
6. Step 6: Final answer
   x = 52,182.71