Finding the Third Proportional to 2,057.06 and 4,047.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.06 : 4,047.05 = 4,047.05 : x
2. Step 2: Convert to fraction form
   2,057.06/4,047.05 = 4,047.05/x
3. Step 3: Cross multiply
   2,057.06x = 4,047.05 × 4,047.05
4. Step 4: Simplify right side
   2,057.06x = 16,378,588.41
5. Step 5: Solve for x
   x = 16,378,588.41/2,057.06
6. Step 6: Final answer
   x = 7,962.12