Finding the Third Proportional to 729 and 1,002.38

Step by Step Solution

1. Step 1: Write the proportion equation
   729 : 1,002.38 = 1,002.38 : x
2. Step 2: Convert to fraction form
   729/1,002.38 = 1,002.38/x
3. Step 3: Cross multiply
   729x = 1,002.38 × 1,002.38
4. Step 4: Simplify right side
   729x = 1,004,755.64
5. Step 5: Solve for x
   x = 1,004,755.64/729
6. Step 6: Final answer
   x = 1,378.27