Finding the Third Proportional to 7,772 and 17,290

Step by Step Solution

1. Step 1: Write the proportion equation
   7,772 : 17,290 = 17,290 : x
2. Step 2: Convert to fraction form
   7,772/17,290 = 17,290/x
3. Step 3: Cross multiply
   7,772x = 17,290 × 17,290
4. Step 4: Simplify right side
   7,772x = 298,944,100
5. Step 5: Solve for x
   x = 298,944,100/7,772
6. Step 6: Final answer
   x = 38,464.24