Finding the Third Proportional to 10,142 and 11,222

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142 : 11,222 = 11,222 : x
2. Step 2: Convert to fraction form
   10,142/11,222 = 11,222/x
3. Step 3: Cross multiply
   10,142x = 11,222 × 11,222
4. Step 4: Simplify right side
   10,142x = 125,933,284
5. Step 5: Solve for x
   x = 125,933,284/10,142
6. Step 6: Final answer
   x = 12,417.01