Finding the Third Proportional to 1,766.81 and 2,737.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,766.81 : 2,737.41 = 2,737.41 : x
2. Step 2: Convert to fraction form
   1,766.81/2,737.41 = 2,737.41/x
3. Step 3: Cross multiply
   1,766.81x = 2,737.41 × 2,737.41
4. Step 4: Simplify right side
   1,766.81x = 7,493,392.98
5. Step 5: Solve for x
   x = 7,493,392.98/1,766.81
6. Step 6: Final answer
   x = 4,241.19