Finding the Third Proportional to 9,522 and 17,658

Step by Step Solution

1. Step 1: Write the proportion equation
   9,522 : 17,658 = 17,658 : x
2. Step 2: Convert to fraction form
   9,522/17,658 = 17,658/x
3. Step 3: Cross multiply
   9,522x = 17,658 × 17,658
4. Step 4: Simplify right side
   9,522x = 311,804,964
5. Step 5: Solve for x
   x = 311,804,964/9,522
6. Step 6: Final answer
   x = 32,745.74