Finding the Third Proportional to 2,737.59 and 5,669.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,737.59 : 5,669.53 = 5,669.53 : x
2. Step 2: Convert to fraction form
   2,737.59/5,669.53 = 5,669.53/x
3. Step 3: Cross multiply
   2,737.59x = 5,669.53 × 5,669.53
4. Step 4: Simplify right side
   2,737.59x = 32,143,584.59
5. Step 5: Solve for x
   x = 32,143,584.59/2,737.59
6. Step 6: Final answer
   x = 11,741.55