Finding the Third Proportional to 746.72 and 1,568.53

Step by Step Solution

1. Step 1: Write the proportion equation
   746.72 : 1,568.53 = 1,568.53 : x
2. Step 2: Convert to fraction form
   746.72/1,568.53 = 1,568.53/x
3. Step 3: Cross multiply
   746.72x = 1,568.53 × 1,568.53
4. Step 4: Simplify right side
   746.72x = 2,460,290.28
5. Step 5: Solve for x
   x = 2,460,290.28/746.72
6. Step 6: Final answer
   x = 3,294.80