Finding the Third Proportional to 10,172 and 11,132

Step by Step Solution

1. Step 1: Write the proportion equation
   10,172 : 11,132 = 11,132 : x
2. Step 2: Convert to fraction form
   10,172/11,132 = 11,132/x
3. Step 3: Cross multiply
   10,172x = 11,132 × 11,132
4. Step 4: Simplify right side
   10,172x = 123,921,424
5. Step 5: Solve for x
   x = 123,921,424/10,172
6. Step 6: Final answer
   x = 12,182.60