Finding the Third Proportional to 10,952 and 17,466

Step by Step Solution

1. Step 1: Write the proportion equation
   10,952 : 17,466 = 17,466 : x
2. Step 2: Convert to fraction form
   10,952/17,466 = 17,466/x
3. Step 3: Cross multiply
   10,952x = 17,466 × 17,466
4. Step 4: Simplify right side
   10,952x = 305,061,156
5. Step 5: Solve for x
   x = 305,061,156/10,952
6. Step 6: Final answer
   x = 27,854.38