Finding the Third Proportional to 3,211.31 and 4,184.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,211.31 : 4,184.06 = 4,184.06 : x
2. Step 2: Convert to fraction form
   3,211.31/4,184.06 = 4,184.06/x
3. Step 3: Cross multiply
   3,211.31x = 4,184.06 × 4,184.06
4. Step 4: Simplify right side
   3,211.31x = 17,506,379.00
5. Step 5: Solve for x
   x = 17,506,379.00/3,211.31
6. Step 6: Final answer
   x = 5,451.47