Finding the Third Proportional to 2,146.50 and 3,184.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,146.50 : 3,184.31 = 3,184.31 : x
2. Step 2: Convert to fraction form
   2,146.50/3,184.31 = 3,184.31/x
3. Step 3: Cross multiply
   2,146.50x = 3,184.31 × 3,184.31
4. Step 4: Simplify right side
   2,146.50x = 10,139,846.10
5. Step 5: Solve for x
   x = 10,139,846.10/2,146.50
6. Step 6: Final answer
   x = 4,723.90