Finding the Third Proportional to 1,002.23 and 2,367.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.23 : 2,367.42 = 2,367.42 : x
2. Step 2: Convert to fraction form
   1,002.23/2,367.42 = 2,367.42/x
3. Step 3: Cross multiply
   1,002.23x = 2,367.42 × 2,367.42
4. Step 4: Simplify right side
   1,002.23x = 5,604,686.33
5. Step 5: Solve for x
   x = 5,604,686.33/1,002.23
6. Step 6: Final answer
   x = 5,592.19