Finding the Third Proportional to 1,025.16 and 1,435.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.16 : 1,435.22 = 1,435.22 : x
2. Step 2: Convert to fraction form
   1,025.16/1,435.22 = 1,435.22/x
3. Step 3: Cross multiply
   1,025.16x = 1,435.22 × 1,435.22
4. Step 4: Simplify right side
   1,025.16x = 2,059,852.86
5. Step 5: Solve for x
   x = 2,059,852.86/1,025.16
6. Step 6: Final answer
   x = 2,009.31