Finding the Third Proportional to 22,848 and 33,984

Step by Step Solution

1. Step 1: Write the proportion equation
   22,848 : 33,984 = 33,984 : x
2. Step 2: Convert to fraction form
   22,848/33,984 = 33,984/x
3. Step 3: Cross multiply
   22,848x = 33,984 × 33,984
4. Step 4: Simplify right side
   22,848x = 1,154,912,256
5. Step 5: Solve for x
   x = 1,154,912,256/22,848
6. Step 6: Final answer
   x = 50,547.63