Finding the Third Proportional to 1,277.81 and 2,737.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,277.81 : 2,737.78 = 2,737.78 : x
2. Step 2: Convert to fraction form
   1,277.81/2,737.78 = 2,737.78/x
3. Step 3: Cross multiply
   1,277.81x = 2,737.78 × 2,737.78
4. Step 4: Simplify right side
   1,277.81x = 7,495,446.17
5. Step 5: Solve for x
   x = 7,495,446.17/1,277.81
6. Step 6: Final answer
   x = 5,865.84