Finding the Third Proportional to 7,188 and 17,422

Step by Step Solution

1. Step 1: Write the proportion equation
   7,188 : 17,422 = 17,422 : x
2. Step 2: Convert to fraction form
   7,188/17,422 = 17,422/x
3. Step 3: Cross multiply
   7,188x = 17,422 × 17,422
4. Step 4: Simplify right side
   7,188x = 303,526,084
5. Step 5: Solve for x
   x = 303,526,084/7,188
6. Step 6: Final answer
   x = 42,226.78