Finding the Third Proportional to 2,056.50 and 2,796.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,056.50 : 2,796.75 = 2,796.75 : x
2. Step 2: Convert to fraction form
   2,056.50/2,796.75 = 2,796.75/x
3. Step 3: Cross multiply
   2,056.50x = 2,796.75 × 2,796.75
4. Step 4: Simplify right side
   2,056.50x = 7,821,810.56
5. Step 5: Solve for x
   x = 7,821,810.56/2,056.50
6. Step 6: Final answer
   x = 3,803.46