Finding the Third Proportional to 1,199.25 and 1,611.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,199.25 : 1,611.56 = 1,611.56 : x
2. Step 2: Convert to fraction form
   1,199.25/1,611.56 = 1,611.56/x
3. Step 3: Cross multiply
   1,199.25x = 1,611.56 × 1,611.56
4. Step 4: Simplify right side
   1,199.25x = 2,597,133.69
5. Step 5: Solve for x
   x = 2,597,133.69/1,199.25
6. Step 6: Final answer
   x = 2,165.63