Finding the Third Proportional to 2,200.92 and 3,181.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,200.92 : 3,181.78 = 3,181.78 : x
2. Step 2: Convert to fraction form
   2,200.92/3,181.78 = 3,181.78/x
3. Step 3: Cross multiply
   2,200.92x = 3,181.78 × 3,181.78
4. Step 4: Simplify right side
   2,200.92x = 10,123,731.92
5. Step 5: Solve for x
   x = 10,123,731.92/2,200.92
6. Step 6: Final answer
   x = 4,599.77