Finding the Third Proportional to 10,822 and 23,288

Step by Step Solution

1. Step 1: Write the proportion equation
   10,822 : 23,288 = 23,288 : x
2. Step 2: Convert to fraction form
   10,822/23,288 = 23,288/x
3. Step 3: Cross multiply
   10,822x = 23,288 × 23,288
4. Step 4: Simplify right side
   10,822x = 542,330,944
5. Step 5: Solve for x
   x = 542,330,944/10,822
6. Step 6: Final answer
   x = 50,113.74