Finding the Third Proportional to 33,384 and 72,582

Step by Step Solution

1. Step 1: Write the proportion equation
   33,384 : 72,582 = 72,582 : x
2. Step 2: Convert to fraction form
   33,384/72,582 = 72,582/x
3. Step 3: Cross multiply
   33,384x = 72,582 × 72,582
4. Step 4: Simplify right side
   33,384x = 5,268,146,724
5. Step 5: Solve for x
   x = 5,268,146,724/33,384
6. Step 6: Final answer
   x = 157,804.54