Finding the Third Proportional to 2,138.91 and 4,699.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138.91 : 4,699.27 = 4,699.27 : x
2. Step 2: Convert to fraction form
   2,138.91/4,699.27 = 4,699.27/x
3. Step 3: Cross multiply
   2,138.91x = 4,699.27 × 4,699.27
4. Step 4: Simplify right side
   2,138.91x = 22,083,097.41
5. Step 5: Solve for x
   x = 22,083,097.41/2,138.91
6. Step 6: Final answer
   x = 10,324.48