Finding the Third Proportional to 7,797 and 17,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,797 : 17,656.50 = 17,656.50 : x
2. Step 2: Convert to fraction form
   7,797/17,656.50 = 17,656.50/x
3. Step 3: Cross multiply
   7,797x = 17,656.50 × 17,656.50
4. Step 4: Simplify right side
   7,797x = 311,751,992.25
5. Step 5: Solve for x
   x = 311,751,992.25/7,797
6. Step 6: Final answer
   x = 39,983.58