Finding the Third Proportional to 1,567.83 and 3,380.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,567.83 : 3,380.48 = 3,380.48 : x
2. Step 2: Convert to fraction form
   1,567.83/3,380.48 = 3,380.48/x
3. Step 3: Cross multiply
   1,567.83x = 3,380.48 × 3,380.48
4. Step 4: Simplify right side
   1,567.83x = 11,427,674.61
5. Step 5: Solve for x
   x = 11,427,674.61/1,567.83
6. Step 6: Final answer
   x = 7,288.86