Finding the Third Proportional to 2,138.48 and 3,005.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138.48 : 3,005.86 = 3,005.86 : x
2. Step 2: Convert to fraction form
   2,138.48/3,005.86 = 3,005.86/x
3. Step 3: Cross multiply
   2,138.48x = 3,005.86 × 3,005.86
4. Step 4: Simplify right side
   2,138.48x = 9,035,190.58
5. Step 5: Solve for x
   x = 9,035,190.58/2,138.48
6. Step 6: Final answer
   x = 4,225.04