Finding the Third Proportional to 2,271.94 and 5,302.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,271.94 : 5,302.69 = 5,302.69 : x
2. Step 2: Convert to fraction form
   2,271.94/5,302.69 = 5,302.69/x
3. Step 3: Cross multiply
   2,271.94x = 5,302.69 × 5,302.69
4. Step 4: Simplify right side
   2,271.94x = 28,118,494.72
5. Step 5: Solve for x
   x = 28,118,494.72/2,271.94
6. Step 6: Final answer
   x = 12,376.44