Finding the Third Proportional to 30,564 and 41,238

Step by Step Solution

1. Step 1: Write the proportion equation
   30,564 : 41,238 = 41,238 : x
2. Step 2: Convert to fraction form
   30,564/41,238 = 41,238/x
3. Step 3: Cross multiply
   30,564x = 41,238 × 41,238
4. Step 4: Simplify right side
   30,564x = 1,700,572,644
5. Step 5: Solve for x
   x = 1,700,572,644/30,564
6. Step 6: Final answer
   x = 55,639.73