Finding the Third Proportional to 2,624.63 and 5,659.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,624.63 : 5,659.88 = 5,659.88 : x
2. Step 2: Convert to fraction form
   2,624.63/5,659.88 = 5,659.88/x
3. Step 3: Cross multiply
   2,624.63x = 5,659.88 × 5,659.88
4. Step 4: Simplify right side
   2,624.63x = 32,034,185.02
5. Step 5: Solve for x
   x = 32,034,185.02/2,624.63
6. Step 6: Final answer
   x = 12,205.24