Finding the Third Proportional to 10,357 and 22,166

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357 : 22,166 = 22,166 : x
2. Step 2: Convert to fraction form
   10,357/22,166 = 22,166/x
3. Step 3: Cross multiply
   10,357x = 22,166 × 22,166
4. Step 4: Simplify right side
   10,357x = 491,331,556
5. Step 5: Solve for x
   x = 491,331,556/10,357
6. Step 6: Final answer
   x = 47,439.56