Finding the Third Proportional to 2,629.81 and 5,656.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,629.81 : 5,656.87 = 5,656.87 : x
2. Step 2: Convert to fraction form
   2,629.81/5,656.87 = 5,656.87/x
3. Step 3: Cross multiply
   2,629.81x = 5,656.87 × 5,656.87
4. Step 4: Simplify right side
   2,629.81x = 32,000,168.47
5. Step 5: Solve for x
   x = 32,000,168.47/2,629.81
6. Step 6: Final answer
   x = 12,168.24