Finding the Third Proportional to 3,395.81 and 7,412.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,395.81 : 7,412.06 = 7,412.06 : x
2. Step 2: Convert to fraction form
   3,395.81/7,412.06 = 7,412.06/x
3. Step 3: Cross multiply
   3,395.81x = 7,412.06 × 7,412.06
4. Step 4: Simplify right side
   3,395.81x = 54,938,670.50
5. Step 5: Solve for x
   x = 54,938,670.50/3,395.81
6. Step 6: Final answer
   x = 16,178.36