Finding the Third Proportional to 9,202 and 19,499

Step by Step Solution

1. Step 1: Write the proportion equation
   9,202 : 19,499 = 19,499 : x
2. Step 2: Convert to fraction form
   9,202/19,499 = 19,499/x
3. Step 3: Cross multiply
   9,202x = 19,499 × 19,499
4. Step 4: Simplify right side
   9,202x = 380,211,001
5. Step 5: Solve for x
   x = 380,211,001/9,202
6. Step 6: Final answer
   x = 41,318.30