Finding the Third Proportional to 7,698 and 17,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,698 : 17,659.50 = 17,659.50 : x
2. Step 2: Convert to fraction form
   7,698/17,659.50 = 17,659.50/x
3. Step 3: Cross multiply
   7,698x = 17,659.50 × 17,659.50
4. Step 4: Simplify right side
   7,698x = 311,857,940.25
5. Step 5: Solve for x
   x = 311,857,940.25/7,698
6. Step 6: Final answer
   x = 40,511.55