Finding the Third Proportional to 2,138.50 and 4,061

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138.50 : 4,061 = 4,061 : x
2. Step 2: Convert to fraction form
   2,138.50/4,061 = 4,061/x
3. Step 3: Cross multiply
   2,138.50x = 4,061 × 4,061
4. Step 4: Simplify right side
   2,138.50x = 16,491,721
5. Step 5: Solve for x
   x = 16,491,721/2,138.50
6. Step 6: Final answer
   x = 7,711.82