Finding the Third Proportional to 23,421 and 41,643

Step by Step Solution

1. Step 1: Write the proportion equation
   23,421 : 41,643 = 41,643 : x
2. Step 2: Convert to fraction form
   23,421/41,643 = 41,643/x
3. Step 3: Cross multiply
   23,421x = 41,643 × 41,643
4. Step 4: Simplify right side
   23,421x = 1,734,139,449
5. Step 5: Solve for x
   x = 1,734,139,449/23,421
6. Step 6: Final answer
   x = 74,042.08