Finding the Third Proportional to 11,666 and 17,495

Step by Step Solution

1. Step 1: Write the proportion equation
   11,666 : 17,495 = 17,495 : x
2. Step 2: Convert to fraction form
   11,666/17,495 = 17,495/x
3. Step 3: Cross multiply
   11,666x = 17,495 × 17,495
4. Step 4: Simplify right side
   11,666x = 306,075,025
5. Step 5: Solve for x
   x = 306,075,025/11,666
6. Step 6: Final answer
   x = 26,236.50