Finding the Third Proportional to 9,188 and 13,006

Step by Step Solution

1. Step 1: Write the proportion equation
   9,188 : 13,006 = 13,006 : x
2. Step 2: Convert to fraction form
   9,188/13,006 = 13,006/x
3. Step 3: Cross multiply
   9,188x = 13,006 × 13,006
4. Step 4: Simplify right side
   9,188x = 169,156,036
5. Step 5: Solve for x
   x = 169,156,036/9,188
6. Step 6: Final answer
   x = 18,410.54