Finding the Third Proportional to 11,461 and 23,636

Step by Step Solution

1. Step 1: Write the proportion equation
   11,461 : 23,636 = 23,636 : x
2. Step 2: Convert to fraction form
   11,461/23,636 = 23,636/x
3. Step 3: Cross multiply
   11,461x = 23,636 × 23,636
4. Step 4: Simplify right side
   11,461x = 558,660,496
5. Step 5: Solve for x
   x = 558,660,496/11,461
6. Step 6: Final answer
   x = 48,744.48