Finding the Third Proportional to 713.71 and 1,002.16

Step by Step Solution

1. Step 1: Write the proportion equation
   713.71 : 1,002.16 = 1,002.16 : x
2. Step 2: Convert to fraction form
   713.71/1,002.16 = 1,002.16/x
3. Step 3: Cross multiply
   713.71x = 1,002.16 × 1,002.16
4. Step 4: Simplify right side
   713.71x = 1,004,332.81
5. Step 5: Solve for x
   x = 1,004,332.81/713.71
6. Step 6: Final answer
   x = 1,407.21