Finding the Third Proportional to 2,268.42 and 3,632.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,268.42 : 3,632.34 = 3,632.34 : x
2. Step 2: Convert to fraction form
   2,268.42/3,632.34 = 3,632.34/x
3. Step 3: Cross multiply
   2,268.42x = 3,632.34 × 3,632.34
4. Step 4: Simplify right side
   2,268.42x = 13,193,921.12
5. Step 5: Solve for x
   x = 13,193,921.12/2,268.42
6. Step 6: Final answer
   x = 5,816.34