Finding the Third Proportional to 22,832 and 34,564

Step by Step Solution

1. Step 1: Write the proportion equation
   22,832 : 34,564 = 34,564 : x
2. Step 2: Convert to fraction form
   22,832/34,564 = 34,564/x
3. Step 3: Cross multiply
   22,832x = 34,564 × 34,564
4. Step 4: Simplify right side
   22,832x = 1,194,670,096
5. Step 5: Solve for x
   x = 1,194,670,096/22,832
6. Step 6: Final answer
   x = 52,324.37