Finding the Third Proportional to 1,560.83 and 3,265.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,560.83 : 3,265.95 = 3,265.95 : x
2. Step 2: Convert to fraction form
   1,560.83/3,265.95 = 3,265.95/x
3. Step 3: Cross multiply
   1,560.83x = 3,265.95 × 3,265.95
4. Step 4: Simplify right side
   1,560.83x = 10,666,398.78
5. Step 5: Solve for x
   x = 10,666,398.78/1,560.83
6. Step 6: Final answer
   x = 6,833.79