Finding the Third Proportional to 5,064.71 and 8,013.30

Step by Step Solution

1. Step 1: Write the proportion equation
   5,064.71 : 8,013.30 = 8,013.30 : x
2. Step 2: Convert to fraction form
   5,064.71/8,013.30 = 8,013.30/x
3. Step 3: Cross multiply
   5,064.71x = 8,013.30 × 8,013.30
4. Step 4: Simplify right side
   5,064.71x = 64,213,052.01
5. Step 5: Solve for x
   x = 64,213,052.01/5,064.71
6. Step 6: Final answer
   x = 12,678.51