Finding the Third Proportional to 1,459.50 and 3,202.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.50 : 3,202.50 = 3,202.50 : x
2. Step 2: Convert to fraction form
   1,459.50/3,202.50 = 3,202.50/x
3. Step 3: Cross multiply
   1,459.50x = 3,202.50 × 3,202.50
4. Step 4: Simplify right side
   1,459.50x = 10,256,006.25
5. Step 5: Solve for x
   x = 10,256,006.25/1,459.50
6. Step 6: Final answer
   x = 7,027.07