Finding the Third Proportional to 2,306 and 3,576.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,306 : 3,576.50 = 3,576.50 : x
2. Step 2: Convert to fraction form
   2,306/3,576.50 = 3,576.50/x
3. Step 3: Cross multiply
   2,306x = 3,576.50 × 3,576.50
4. Step 4: Simplify right side
   2,306x = 12,791,352.25
5. Step 5: Solve for x
   x = 12,791,352.25/2,306
6. Step 6: Final answer
   x = 5,546.99