Finding the Third Proportional to 2,624 and 5,765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,624 : 5,765.50 = 5,765.50 : x
2. Step 2: Convert to fraction form
   2,624/5,765.50 = 5,765.50/x
3. Step 3: Cross multiply
   2,624x = 5,765.50 × 5,765.50
4. Step 4: Simplify right side
   2,624x = 33,240,990.25
5. Step 5: Solve for x
   x = 33,240,990.25/2,624
6. Step 6: Final answer
   x = 12,668.06