Finding the Third Proportional to 8,692 and 13,003

Step by Step Solution

1. Step 1: Write the proportion equation
   8,692 : 13,003 = 13,003 : x
2. Step 2: Convert to fraction form
   8,692/13,003 = 13,003/x
3. Step 3: Cross multiply
   8,692x = 13,003 × 13,003
4. Step 4: Simplify right side
   8,692x = 169,078,009
5. Step 5: Solve for x
   x = 169,078,009/8,692
6. Step 6: Final answer
   x = 19,452.14