Finding the Third Proportional to 2,005.70 and 3,200.45

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.70 : 3,200.45 = 3,200.45 : x
2. Step 2: Convert to fraction form
   2,005.70/3,200.45 = 3,200.45/x
3. Step 3: Cross multiply
   2,005.70x = 3,200.45 × 3,200.45
4. Step 4: Simplify right side
   2,005.70x = 10,242,875.20
5. Step 5: Solve for x
   x = 10,242,875.20/2,005.70
6. Step 6: Final answer
   x = 5,106.88