Finding the Third Proportional to 10,511 and 17,407

Step by Step Solution

1. Step 1: Write the proportion equation
   10,511 : 17,407 = 17,407 : x
2. Step 2: Convert to fraction form
   10,511/17,407 = 17,407/x
3. Step 3: Cross multiply
   10,511x = 17,407 × 17,407
4. Step 4: Simplify right side
   10,511x = 303,003,649
5. Step 5: Solve for x
   x = 303,003,649/10,511
6. Step 6: Final answer
   x = 28,827.29