Finding the Third Proportional to 40,338 and 63,855

Step by Step Solution

1. Step 1: Write the proportion equation
   40,338 : 63,855 = 63,855 : x
2. Step 2: Convert to fraction form
   40,338/63,855 = 63,855/x
3. Step 3: Cross multiply
   40,338x = 63,855 × 63,855
4. Step 4: Simplify right side
   40,338x = 4,077,461,025
5. Step 5: Solve for x
   x = 4,077,461,025/40,338
6. Step 6: Final answer
   x = 101,082.38