Finding the Third Proportional to 32,004 and 49,818

Step by Step Solution

1. Step 1: Write the proportion equation
   32,004 : 49,818 = 49,818 : x
2. Step 2: Convert to fraction form
   32,004/49,818 = 49,818/x
3. Step 3: Cross multiply
   32,004x = 49,818 × 49,818
4. Step 4: Simplify right side
   32,004x = 2,481,833,124
5. Step 5: Solve for x
   x = 2,481,833,124/32,004
6. Step 6: Final answer
   x = 77,547.59