Finding the Third Proportional to 33,792 and 51,984

Step by Step Solution

1. Step 1: Write the proportion equation
   33,792 : 51,984 = 51,984 : x
2. Step 2: Convert to fraction form
   33,792/51,984 = 51,984/x
3. Step 3: Cross multiply
   33,792x = 51,984 × 51,984
4. Step 4: Simplify right side
   33,792x = 2,702,336,256
5. Step 5: Solve for x
   x = 2,702,336,256/33,792
6. Step 6: Final answer
   x = 79,969.70