Finding the Third Proportional to 2,629.13 and 5,656.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,629.13 : 5,656.88 = 5,656.88 : x
2. Step 2: Convert to fraction form
   2,629.13/5,656.88 = 5,656.88/x
3. Step 3: Cross multiply
   2,629.13x = 5,656.88 × 5,656.88
4. Step 4: Simplify right side
   2,629.13x = 32,000,234.77
5. Step 5: Solve for x
   x = 32,000,234.77/2,629.13
6. Step 6: Final answer
   x = 12,171.44