Finding the Third Proportional to 2,646.75 and 5,635.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,646.75 : 5,635.88 = 5,635.88 : x
2. Step 2: Convert to fraction form
   2,646.75/5,635.88 = 5,635.88/x
3. Step 3: Cross multiply
   2,646.75x = 5,635.88 × 5,635.88
4. Step 4: Simplify right side
   2,646.75x = 31,763,087.02
5. Step 5: Solve for x
   x = 31,763,087.02/2,646.75
6. Step 6: Final answer
   x = 12,000.79