Finding the Third Proportional to 3,647.81 and 5,162.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,647.81 : 5,162.06 = 5,162.06 : x
2. Step 2: Convert to fraction form
   3,647.81/5,162.06 = 5,162.06/x
3. Step 3: Cross multiply
   3,647.81x = 5,162.06 × 5,162.06
4. Step 4: Simplify right side
   3,647.81x = 26,646,889.25
5. Step 5: Solve for x
   x = 26,646,889.25/3,647.81
6. Step 6: Final answer
   x = 7,304.90