Finding the Third Proportional to 32,628 and 49,626

Step by Step Solution

1. Step 1: Write the proportion equation
   32,628 : 49,626 = 49,626 : x
2. Step 2: Convert to fraction form
   32,628/49,626 = 49,626/x
3. Step 3: Cross multiply
   32,628x = 49,626 × 49,626
4. Step 4: Simplify right side
   32,628x = 2,462,739,876
5. Step 5: Solve for x
   x = 2,462,739,876/32,628
6. Step 6: Final answer
   x = 75,479.34