Finding the Third Proportional to 9,358 and 12,821

Step by Step Solution

1. Step 1: Write the proportion equation
   9,358 : 12,821 = 12,821 : x
2. Step 2: Convert to fraction form
   9,358/12,821 = 12,821/x
3. Step 3: Cross multiply
   9,358x = 12,821 × 12,821
4. Step 4: Simplify right side
   9,358x = 164,378,041
5. Step 5: Solve for x
   x = 164,378,041/9,358
6. Step 6: Final answer
   x = 17,565.51