Finding the Third Proportional to 30,762 and 41,055

Step by Step Solution

1. Step 1: Write the proportion equation
   30,762 : 41,055 = 41,055 : x
2. Step 2: Convert to fraction form
   30,762/41,055 = 41,055/x
3. Step 3: Cross multiply
   30,762x = 41,055 × 41,055
4. Step 4: Simplify right side
   30,762x = 1,685,513,025
5. Step 5: Solve for x
   x = 1,685,513,025/30,762
6. Step 6: Final answer
   x = 54,792.05