Finding the Third Proportional to 3,164.63 and 4,912.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,164.63 : 4,912.69 = 4,912.69 : x
2. Step 2: Convert to fraction form
   3,164.63/4,912.69 = 4,912.69/x
3. Step 3: Cross multiply
   3,164.63x = 4,912.69 × 4,912.69
4. Step 4: Simplify right side
   3,164.63x = 24,134,498.47
5. Step 5: Solve for x
   x = 24,134,498.47/3,164.63
6. Step 6: Final answer
   x = 7,626.34