Finding the Third Proportional to 11,706 and 17,707.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,706 : 17,707.50 = 17,707.50 : x
2. Step 2: Convert to fraction form
   11,706/17,707.50 = 17,707.50/x
3. Step 3: Cross multiply
   11,706x = 17,707.50 × 17,707.50
4. Step 4: Simplify right side
   11,706x = 313,555,556.25
5. Step 5: Solve for x
   x = 313,555,556.25/11,706
6. Step 6: Final answer
   x = 26,785.88