Finding the Third Proportional to 3,746.25 and 8,064.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,746.25 : 8,064.56 = 8,064.56 : x
2. Step 2: Convert to fraction form
   3,746.25/8,064.56 = 8,064.56/x
3. Step 3: Cross multiply
   3,746.25x = 8,064.56 × 8,064.56
4. Step 4: Simplify right side
   3,746.25x = 65,037,168.32
5. Step 5: Solve for x
   x = 65,037,168.32/3,746.25
6. Step 6: Final answer
   x = 17,360.61