Finding the Third Proportional to 2,952.38 and 4,127.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,952.38 : 4,127.53 = 4,127.53 : x
2. Step 2: Convert to fraction form
   2,952.38/4,127.53 = 4,127.53/x
3. Step 3: Cross multiply
   2,952.38x = 4,127.53 × 4,127.53
4. Step 4: Simplify right side
   2,952.38x = 17,036,514.22
5. Step 5: Solve for x
   x = 17,036,514.22/2,952.38
6. Step 6: Final answer
   x = 5,770.44