Finding the Third Proportional to 2,057.91 and 2,914.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.91 : 2,914.31 = 2,914.31 : x
2. Step 2: Convert to fraction form
   2,057.91/2,914.31 = 2,914.31/x
3. Step 3: Cross multiply
   2,057.91x = 2,914.31 × 2,914.31
4. Step 4: Simplify right side
   2,057.91x = 8,493,217.35
5. Step 5: Solve for x
   x = 8,493,217.35/2,057.91
6. Step 6: Final answer
   x = 4,127.12