Finding the Third Proportional to 11,510 and 17,841

Step by Step Solution

1. Step 1: Write the proportion equation
   11,510 : 17,841 = 17,841 : x
2. Step 2: Convert to fraction form
   11,510/17,841 = 17,841/x
3. Step 3: Cross multiply
   11,510x = 17,841 × 17,841
4. Step 4: Simplify right side
   11,510x = 318,301,281
5. Step 5: Solve for x
   x = 318,301,281/11,510
6. Step 6: Final answer
   x = 27,654.33