Finding the Third Proportional to 3,232.41 and 3,688.03

Step by Step Solution

1. Step 1: Write the proportion equation
   3,232.41 : 3,688.03 = 3,688.03 : x
2. Step 2: Convert to fraction form
   3,232.41/3,688.03 = 3,688.03/x
3. Step 3: Cross multiply
   3,232.41x = 3,688.03 × 3,688.03
4. Step 4: Simplify right side
   3,232.41x = 13,601,574.50
5. Step 5: Solve for x
   x = 13,601,574.50/3,232.41
6. Step 6: Final answer
   x = 4,207.88