Finding the Third Proportional to 9,298 and 13,255

Step by Step Solution

1. Step 1: Write the proportion equation
   9,298 : 13,255 = 13,255 : x
2. Step 2: Convert to fraction form
   9,298/13,255 = 13,255/x
3. Step 3: Cross multiply
   9,298x = 13,255 × 13,255
4. Step 4: Simplify right side
   9,298x = 175,695,025
5. Step 5: Solve for x
   x = 175,695,025/9,298
6. Step 6: Final answer
   x = 18,896.00