Finding the Third Proportional to 22,896 and 33,714

Step by Step Solution

1. Step 1: Write the proportion equation
   22,896 : 33,714 = 33,714 : x
2. Step 2: Convert to fraction form
   22,896/33,714 = 33,714/x
3. Step 3: Cross multiply
   22,896x = 33,714 × 33,714
4. Step 4: Simplify right side
   22,896x = 1,136,633,796
5. Step 5: Solve for x
   x = 1,136,633,796/22,896
6. Step 6: Final answer
   x = 49,643.33