Finding the Third Proportional to 32,004 and 49,816

Step by Step Solution

1. Step 1: Write the proportion equation
   32,004 : 49,816 = 49,816 : x
2. Step 2: Convert to fraction form
   32,004/49,816 = 49,816/x
3. Step 3: Cross multiply
   32,004x = 49,816 × 49,816
4. Step 4: Simplify right side
   32,004x = 2,481,633,856
5. Step 5: Solve for x
   x = 2,481,633,856/32,004
6. Step 6: Final answer
   x = 77,541.37