Finding the Third Proportional to 2,138.91 and 3,310.45

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138.91 : 3,310.45 = 3,310.45 : x
2. Step 2: Convert to fraction form
   2,138.91/3,310.45 = 3,310.45/x
3. Step 3: Cross multiply
   2,138.91x = 3,310.45 × 3,310.45
4. Step 4: Simplify right side
   2,138.91x = 10,959,099.89
5. Step 5: Solve for x
   x = 10,959,099.89/2,138.91
6. Step 6: Final answer
   x = 5,123.69