Finding the Third Proportional to 9,188 and 13,427

Step by Step Solution

1. Step 1: Write the proportion equation
   9,188 : 13,427 = 13,427 : x
2. Step 2: Convert to fraction form
   9,188/13,427 = 13,427/x
3. Step 3: Cross multiply
   9,188x = 13,427 × 13,427
4. Step 4: Simplify right side
   9,188x = 180,284,329
5. Step 5: Solve for x
   x = 180,284,329/9,188
6. Step 6: Final answer
   x = 19,621.72