Finding the Third Proportional to 10,233 and 22,086

Step by Step Solution

1. Step 1: Write the proportion equation
   10,233 : 22,086 = 22,086 : x
2. Step 2: Convert to fraction form
   10,233/22,086 = 22,086/x
3. Step 3: Cross multiply
   10,233x = 22,086 × 22,086
4. Step 4: Simplify right side
   10,233x = 487,791,396
5. Step 5: Solve for x
   x = 487,791,396/10,233
6. Step 6: Final answer
   x = 47,668.46