Finding the Third Proportional to 9,172 and 12,762

Step by Step Solution

1. Step 1: Write the proportion equation
   9,172 : 12,762 = 12,762 : x
2. Step 2: Convert to fraction form
   9,172/12,762 = 12,762/x
3. Step 3: Cross multiply
   9,172x = 12,762 × 12,762
4. Step 4: Simplify right side
   9,172x = 162,868,644
5. Step 5: Solve for x
   x = 162,868,644/9,172
6. Step 6: Final answer
   x = 17,757.16