Finding the Third Proportional to 33,638 and 45,705

Step by Step Solution

1. Step 1: Write the proportion equation
   33,638 : 45,705 = 45,705 : x
2. Step 2: Convert to fraction form
   33,638/45,705 = 45,705/x
3. Step 3: Cross multiply
   33,638x = 45,705 × 45,705
4. Step 4: Simplify right side
   33,638x = 2,088,947,025
5. Step 5: Solve for x
   x = 2,088,947,025/33,638
6. Step 6: Final answer
   x = 62,100.81