Finding the Third Proportional to 1,458.19 and 3,200.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,458.19 : 3,200.06 = 3,200.06 : x
2. Step 2: Convert to fraction form
   1,458.19/3,200.06 = 3,200.06/x
3. Step 3: Cross multiply
   1,458.19x = 3,200.06 × 3,200.06
4. Step 4: Simplify right side
   1,458.19x = 10,240,400.00
5. Step 5: Solve for x
   x = 10,240,400.00/1,458.19
6. Step 6: Final answer
   x = 7,022.69