Finding the Third Proportional to 2,695.78 and 5,834.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,695.78 : 5,834.53 = 5,834.53 : x
2. Step 2: Convert to fraction form
   2,695.78/5,834.53 = 5,834.53/x
3. Step 3: Cross multiply
   2,695.78x = 5,834.53 × 5,834.53
4. Step 4: Simplify right side
   2,695.78x = 34,041,754.91
5. Step 5: Solve for x
   x = 34,041,754.91/2,695.78
6. Step 6: Final answer
   x = 12,627.79