Finding the Third Proportional to 2,646 and 5,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,646 : 5,656.50 = 5,656.50 : x
2. Step 2: Convert to fraction form
   2,646/5,656.50 = 5,656.50/x
3. Step 3: Cross multiply
   2,646x = 5,656.50 × 5,656.50
4. Step 4: Simplify right side
   2,646x = 31,995,992.25
5. Step 5: Solve for x
   x = 31,995,992.25/2,646
6. Step 6: Final answer
   x = 12,092.21