Finding the Third Proportional to 3,932.72 and 5,412.23

Step by Step Solution

1. Step 1: Write the proportion equation
   3,932.72 : 5,412.23 = 5,412.23 : x
2. Step 2: Convert to fraction form
   3,932.72/5,412.23 = 5,412.23/x
3. Step 3: Cross multiply
   3,932.72x = 5,412.23 × 5,412.23
4. Step 4: Simplify right side
   3,932.72x = 29,292,280.93
5. Step 5: Solve for x
   x = 29,292,280.93/3,932.72
6. Step 6: Final answer
   x = 7,448.35