Finding the Third Proportional to 9,759 and 13,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,759 : 13,186.50 = 13,186.50 : x
2. Step 2: Convert to fraction form
   9,759/13,186.50 = 13,186.50/x
3. Step 3: Cross multiply
   9,759x = 13,186.50 × 13,186.50
4. Step 4: Simplify right side
   9,759x = 173,883,782.25
5. Step 5: Solve for x
   x = 173,883,782.25/9,759
6. Step 6: Final answer
   x = 17,817.79