Finding the Third Proportional to 3,462.75 and 4,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,462.75 : 4,009.50 = 4,009.50 : x
2. Step 2: Convert to fraction form
   3,462.75/4,009.50 = 4,009.50/x
3. Step 3: Cross multiply
   3,462.75x = 4,009.50 × 4,009.50
4. Step 4: Simplify right side
   3,462.75x = 16,076,090.25
5. Step 5: Solve for x
   x = 16,076,090.25/3,462.75
6. Step 6: Final answer
   x = 4,642.58