Finding the Third Proportional to 11,166 and 23,102

Step by Step Solution

1. Step 1: Write the proportion equation
   11,166 : 23,102 = 23,102 : x
2. Step 2: Convert to fraction form
   11,166/23,102 = 23,102/x
3. Step 3: Cross multiply
   11,166x = 23,102 × 23,102
4. Step 4: Simplify right side
   11,166x = 533,702,404
5. Step 5: Solve for x
   x = 533,702,404/11,166
6. Step 6: Final answer
   x = 47,797.10