Finding the Third Proportional to 19,413 and 41,628

Step by Step Solution

1. Step 1: Write the proportion equation
   19,413 : 41,628 = 41,628 : x
2. Step 2: Convert to fraction form
   19,413/41,628 = 41,628/x
3. Step 3: Cross multiply
   19,413x = 41,628 × 41,628
4. Step 4: Simplify right side
   19,413x = 1,732,890,384
5. Step 5: Solve for x
   x = 1,732,890,384/19,413
6. Step 6: Final answer
   x = 89,264.43