Finding the Third Proportional to 1,025.63 and 2,214.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.63 : 2,214.38 = 2,214.38 : x
2. Step 2: Convert to fraction form
   1,025.63/2,214.38 = 2,214.38/x
3. Step 3: Cross multiply
   1,025.63x = 2,214.38 × 2,214.38
4. Step 4: Simplify right side
   1,025.63x = 4,903,456.64
5. Step 5: Solve for x
   x = 4,903,456.64/1,025.63
6. Step 6: Final answer
   x = 4,780.94