Finding the Third Proportional to 10,786.50 and 17,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,786.50 : 17,698.50 = 17,698.50 : x
2. Step 2: Convert to fraction form
   10,786.50/17,698.50 = 17,698.50/x
3. Step 3: Cross multiply
   10,786.50x = 17,698.50 × 17,698.50
4. Step 4: Simplify right side
   10,786.50x = 313,236,902.25
5. Step 5: Solve for x
   x = 313,236,902.25/10,786.50
6. Step 6: Final answer
   x = 29,039.72