Finding the Third Proportional to 9,778 and 17,522

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778 : 17,522 = 17,522 : x
2. Step 2: Convert to fraction form
   9,778/17,522 = 17,522/x
3. Step 3: Cross multiply
   9,778x = 17,522 × 17,522
4. Step 4: Simplify right side
   9,778x = 307,020,484
5. Step 5: Solve for x
   x = 307,020,484/9,778
6. Step 6: Final answer
   x = 31,399.11