Finding the Third Proportional to 9,666 and 17,532

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666 : 17,532 = 17,532 : x
2. Step 2: Convert to fraction form
   9,666/17,532 = 17,532/x
3. Step 3: Cross multiply
   9,666x = 17,532 × 17,532
4. Step 4: Simplify right side
   9,666x = 307,371,024
5. Step 5: Solve for x
   x = 307,371,024/9,666
6. Step 6: Final answer
   x = 31,799.20