Finding the Third Proportional to 22,368 and 33,834

Step by Step Solution

1. Step 1: Write the proportion equation
   22,368 : 33,834 = 33,834 : x
2. Step 2: Convert to fraction form
   22,368/33,834 = 33,834/x
3. Step 3: Cross multiply
   22,368x = 33,834 × 33,834
4. Step 4: Simplify right side
   22,368x = 1,144,739,556
5. Step 5: Solve for x
   x = 1,144,739,556/22,368
6. Step 6: Final answer
   x = 51,177.56