Finding the Third Proportional to 37,446 and 80,004

Step by Step Solution

1. Step 1: Write the proportion equation
   37,446 : 80,004 = 80,004 : x
2. Step 2: Convert to fraction form
   37,446/80,004 = 80,004/x
3. Step 3: Cross multiply
   37,446x = 80,004 × 80,004
4. Step 4: Simplify right side
   37,446x = 6,400,640,016
5. Step 5: Solve for x
   x = 6,400,640,016/37,446
6. Step 6: Final answer
   x = 170,929.87