Finding the Third Proportional to 23,423 and 41,644

Step by Step Solution

1. Step 1: Write the proportion equation
   23,423 : 41,644 = 41,644 : x
2. Step 2: Convert to fraction form
   23,423/41,644 = 41,644/x
3. Step 3: Cross multiply
   23,423x = 41,644 × 41,644
4. Step 4: Simplify right side
   23,423x = 1,734,222,736
5. Step 5: Solve for x
   x = 1,734,222,736/23,423
6. Step 6: Final answer
   x = 74,039.31