Finding the Third Proportional to 40,863 and 57,825

Step by Step Solution

1. Step 1: Write the proportion equation
   40,863 : 57,825 = 57,825 : x
2. Step 2: Convert to fraction form
   40,863/57,825 = 57,825/x
3. Step 3: Cross multiply
   40,863x = 57,825 × 57,825
4. Step 4: Simplify right side
   40,863x = 3,343,730,625
5. Step 5: Solve for x
   x = 3,343,730,625/40,863
6. Step 6: Final answer
   x = 81,827.83