Finding the Third Proportional to 713.81 and 1,564.31

Step by Step Solution

1. Step 1: Write the proportion equation
   713.81 : 1,564.31 = 1,564.31 : x
2. Step 2: Convert to fraction form
   713.81/1,564.31 = 1,564.31/x
3. Step 3: Cross multiply
   713.81x = 1,564.31 × 1,564.31
4. Step 4: Simplify right side
   713.81x = 2,447,073.60
5. Step 5: Solve for x
   x = 2,447,073.60/713.81
6. Step 6: Final answer
   x = 3,428.17