Finding the Third Proportional to 2,252.81 and 3,200.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,252.81 : 3,200.34 = 3,200.34 : x
2. Step 2: Convert to fraction form
   2,252.81/3,200.34 = 3,200.34/x
3. Step 3: Cross multiply
   2,252.81x = 3,200.34 × 3,200.34
4. Step 4: Simplify right side
   2,252.81x = 10,242,200.12
5. Step 5: Solve for x
   x = 10,242,200.12/2,252.81
6. Step 6: Final answer
   x = 4,546.41