Finding the Third Proportional to 1,056.16 and 2,057.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.16 : 2,057.27 = 2,057.27 : x
2. Step 2: Convert to fraction form
   1,056.16/2,057.27 = 2,057.27/x
3. Step 3: Cross multiply
   1,056.16x = 2,057.27 × 2,057.27
4. Step 4: Simplify right side
   1,056.16x = 4,232,374.00
5. Step 5: Solve for x
   x = 4,232,374.00/1,056.16
6. Step 6: Final answer
   x = 4,007.31