Finding the Third Proportional to 2,059.50 and 2,772.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,059.50 : 2,772.75 = 2,772.75 : x
2. Step 2: Convert to fraction form
   2,059.50/2,772.75 = 2,772.75/x
3. Step 3: Cross multiply
   2,059.50x = 2,772.75 × 2,772.75
4. Step 4: Simplify right side
   2,059.50x = 7,688,142.56
5. Step 5: Solve for x
   x = 7,688,142.56/2,059.50
6. Step 6: Final answer
   x = 3,733.01