Finding the Third Proportional to 7,790 and 17,308

Step by Step Solution

1. Step 1: Write the proportion equation
   7,790 : 17,308 = 17,308 : x
2. Step 2: Convert to fraction form
   7,790/17,308 = 17,308/x
3. Step 3: Cross multiply
   7,790x = 17,308 × 17,308
4. Step 4: Simplify right side
   7,790x = 299,566,864
5. Step 5: Solve for x
   x = 299,566,864/7,790
6. Step 6: Final answer
   x = 38,455.31