Finding the Third Proportional to 33,523 and 49,705

Step by Step Solution

1. Step 1: Write the proportion equation
   33,523 : 49,705 = 49,705 : x
2. Step 2: Convert to fraction form
   33,523/49,705 = 49,705/x
3. Step 3: Cross multiply
   33,523x = 49,705 × 49,705
4. Step 4: Simplify right side
   33,523x = 2,470,587,025
5. Step 5: Solve for x
   x = 2,470,587,025/33,523
6. Step 6: Final answer
   x = 73,698.27