Finding the Third Proportional to 22,644 and 34,344

Step by Step Solution

1. Step 1: Write the proportion equation
   22,644 : 34,344 = 34,344 : x
2. Step 2: Convert to fraction form
   22,644/34,344 = 34,344/x
3. Step 3: Cross multiply
   22,644x = 34,344 × 34,344
4. Step 4: Simplify right side
   22,644x = 1,179,510,336
5. Step 5: Solve for x
   x = 1,179,510,336/22,644
6. Step 6: Final answer
   x = 52,089.31