Finding the Third Proportional to 1,083.80 and 1,611.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,083.80 : 1,611.56 = 1,611.56 : x
2. Step 2: Convert to fraction form
   1,083.80/1,611.56 = 1,611.56/x
3. Step 3: Cross multiply
   1,083.80x = 1,611.56 × 1,611.56
4. Step 4: Simplify right side
   1,083.80x = 2,597,133.69
5. Step 5: Solve for x
   x = 2,597,133.69/1,083.80
6. Step 6: Final answer
   x = 2,396.33