Finding the Third Proportional to 11,269 and 17,541

Step by Step Solution

1. Step 1: Write the proportion equation
   11,269 : 17,541 = 17,541 : x
2. Step 2: Convert to fraction form
   11,269/17,541 = 17,541/x
3. Step 3: Cross multiply
   11,269x = 17,541 × 17,541
4. Step 4: Simplify right side
   11,269x = 307,686,681
5. Step 5: Solve for x
   x = 307,686,681/11,269
6. Step 6: Final answer
   x = 27,303.81