Finding the Third Proportional to 9,506 and 13,233

Step by Step Solution

1. Step 1: Write the proportion equation
   9,506 : 13,233 = 13,233 : x
2. Step 2: Convert to fraction form
   9,506/13,233 = 13,233/x
3. Step 3: Cross multiply
   9,506x = 13,233 × 13,233
4. Step 4: Simplify right side
   9,506x = 175,112,289
5. Step 5: Solve for x
   x = 175,112,289/9,506
6. Step 6: Final answer
   x = 18,421.24