Finding the Third Proportional to 32,004 and 41,844

Step by Step Solution

1. Step 1: Write the proportion equation
   32,004 : 41,844 = 41,844 : x
2. Step 2: Convert to fraction form
   32,004/41,844 = 41,844/x
3. Step 3: Cross multiply
   32,004x = 41,844 × 41,844
4. Step 4: Simplify right side
   32,004x = 1,750,920,336
5. Step 5: Solve for x
   x = 1,750,920,336/32,004
6. Step 6: Final answer
   x = 54,709.42