Finding the Third Proportional to 22,880 and 34,564

Step by Step Solution

1. Step 1: Write the proportion equation
   22,880 : 34,564 = 34,564 : x
2. Step 2: Convert to fraction form
   22,880/34,564 = 34,564/x
3. Step 3: Cross multiply
   22,880x = 34,564 × 34,564
4. Step 4: Simplify right side
   22,880x = 1,194,670,096
5. Step 5: Solve for x
   x = 1,194,670,096/22,880
6. Step 6: Final answer
   x = 52,214.60