Finding the Third Proportional to 41,825 and 56,742

Step by Step Solution

1. Step 1: Write the proportion equation
   41,825 : 56,742 = 56,742 : x
2. Step 2: Convert to fraction form
   41,825/56,742 = 56,742/x
3. Step 3: Cross multiply
   41,825x = 56,742 × 56,742
4. Step 4: Simplify right side
   41,825x = 3,219,654,564
5. Step 5: Solve for x
   x = 3,219,654,564/41,825
6. Step 6: Final answer
   x = 76,979.19