Finding the Third Proportional to 22,464 and 33,984

Step by Step Solution

1. Step 1: Write the proportion equation
   22,464 : 33,984 = 33,984 : x
2. Step 2: Convert to fraction form
   22,464/33,984 = 33,984/x
3. Step 3: Cross multiply
   22,464x = 33,984 × 33,984
4. Step 4: Simplify right side
   22,464x = 1,154,912,256
5. Step 5: Solve for x
   x = 1,154,912,256/22,464
6. Step 6: Final answer
   x = 51,411.69