Finding the Third Proportional to 9,816 and 17,202

Step by Step Solution

1. Step 1: Write the proportion equation
   9,816 : 17,202 = 17,202 : x
2. Step 2: Convert to fraction form
   9,816/17,202 = 17,202/x
3. Step 3: Cross multiply
   9,816x = 17,202 × 17,202
4. Step 4: Simplify right side
   9,816x = 295,908,804
5. Step 5: Solve for x
   x = 295,908,804/9,816
6. Step 6: Final answer
   x = 30,145.56