Finding the Third Proportional to 1,529.75 and 3,173.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,529.75 : 3,173.25 = 3,173.25 : x
2. Step 2: Convert to fraction form
   1,529.75/3,173.25 = 3,173.25/x
3. Step 3: Cross multiply
   1,529.75x = 3,173.25 × 3,173.25
4. Step 4: Simplify right side
   1,529.75x = 10,069,515.56
5. Step 5: Solve for x
   x = 10,069,515.56/1,529.75
6. Step 6: Final answer
   x = 6,582.46