Finding the Third Proportional to 11,511 and 17,046

Step by Step Solution

1. Step 1: Write the proportion equation
   11,511 : 17,046 = 17,046 : x
2. Step 2: Convert to fraction form
   11,511/17,046 = 17,046/x
3. Step 3: Cross multiply
   11,511x = 17,046 × 17,046
4. Step 4: Simplify right side
   11,511x = 290,566,116
5. Step 5: Solve for x
   x = 290,566,116/11,511
6. Step 6: Final answer
   x = 25,242.47