Finding the Third Proportional to 2,077.50 and 3,181.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.50 : 3,181.13 = 3,181.13 : x
2. Step 2: Convert to fraction form
   2,077.50/3,181.13 = 3,181.13/x
3. Step 3: Cross multiply
   2,077.50x = 3,181.13 × 3,181.13
4. Step 4: Simplify right side
   2,077.50x = 10,119,556.27
5. Step 5: Solve for x
   x = 10,119,556.27/2,077.50
6. Step 6: Final answer
   x = 4,871.03