Finding the Third Proportional to 1,025.16 and 2,357.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.16 : 2,357.86 = 2,357.86 : x
2. Step 2: Convert to fraction form
   1,025.16/2,357.86 = 2,357.86/x
3. Step 3: Cross multiply
   1,025.16x = 2,357.86 × 2,357.86
4. Step 4: Simplify right side
   1,025.16x = 5,559,500.83
5. Step 5: Solve for x
   x = 5,559,500.83/1,025.16
6. Step 6: Final answer
   x = 5,423.08