Finding the Third Proportional to 1,567.27 and 1,796.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,567.27 : 1,796.77 = 1,796.77 : x
2. Step 2: Convert to fraction form
   1,567.27/1,796.77 = 1,796.77/x
3. Step 3: Cross multiply
   1,567.27x = 1,796.77 × 1,796.77
4. Step 4: Simplify right side
   1,567.27x = 3,228,366.71
5. Step 5: Solve for x
   x = 3,228,366.71/1,567.27
6. Step 6: Final answer
   x = 2,059.87