Finding the Third Proportional to 1,025.16 and 2,269.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.16 : 2,269.90 = 2,269.90 : x
2. Step 2: Convert to fraction form
   1,025.16/2,269.90 = 2,269.90/x
3. Step 3: Cross multiply
   1,025.16x = 2,269.90 × 2,269.90
4. Step 4: Simplify right side
   1,025.16x = 5,152,438.92
5. Step 5: Solve for x
   x = 5,152,438.92/1,025.16
6. Step 6: Final answer
   x = 5,026.00