Finding the Third Proportional to 4,009.50 and 5,405.06

Step by Step Solution

1. Step 1: Write the proportion equation
   4,009.50 : 5,405.06 = 5,405.06 : x
2. Step 2: Convert to fraction form
   4,009.50/5,405.06 = 5,405.06/x
3. Step 3: Cross multiply
   4,009.50x = 5,405.06 × 5,405.06
4. Step 4: Simplify right side
   4,009.50x = 29,214,700.63
5. Step 5: Solve for x
   x = 29,214,700.63/4,009.50
6. Step 6: Final answer
   x = 7,286.37