Finding the Third Proportional to 16,464 and 17,841

Step by Step Solution

1. Step 1: Write the proportion equation
   16,464 : 17,841 = 17,841 : x
2. Step 2: Convert to fraction form
   16,464/17,841 = 17,841/x
3. Step 3: Cross multiply
   16,464x = 17,841 × 17,841
4. Step 4: Simplify right side
   16,464x = 318,301,281
5. Step 5: Solve for x
   x = 318,301,281/16,464
6. Step 6: Final answer
   x = 19,333.17