Finding the Third Proportional to 11,664 and 17,455.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,664 : 17,455.50 = 17,455.50 : x
2. Step 2: Convert to fraction form
   11,664/17,455.50 = 17,455.50/x
3. Step 3: Cross multiply
   11,664x = 17,455.50 × 17,455.50
4. Step 4: Simplify right side
   11,664x = 304,694,480.25
5. Step 5: Solve for x
   x = 304,694,480.25/11,664
6. Step 6: Final answer
   x = 26,122.64