Finding the Third Proportional to 11,225 and 23,633

Step by Step Solution

1. Step 1: Write the proportion equation
   11,225 : 23,633 = 23,633 : x
2. Step 2: Convert to fraction form
   11,225/23,633 = 23,633/x
3. Step 3: Cross multiply
   11,225x = 23,633 × 23,633
4. Step 4: Simplify right side
   11,225x = 558,518,689
5. Step 5: Solve for x
   x = 558,518,689/11,225
6. Step 6: Final answer
   x = 49,756.68