Finding the Third Proportional to 40,564 and 63,734

Step by Step Solution

1. Step 1: Write the proportion equation
   40,564 : 63,734 = 63,734 : x
2. Step 2: Convert to fraction form
   40,564/63,734 = 63,734/x
3. Step 3: Cross multiply
   40,564x = 63,734 × 63,734
4. Step 4: Simplify right side
   40,564x = 4,062,022,756
5. Step 5: Solve for x
   x = 4,062,022,756/40,564
6. Step 6: Final answer
   x = 100,138.61