Finding the Third Proportional to 1,659.94 and 1,953.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,659.94 : 1,953.56 = 1,953.56 : x
2. Step 2: Convert to fraction form
   1,659.94/1,953.56 = 1,953.56/x
3. Step 3: Cross multiply
   1,659.94x = 1,953.56 × 1,953.56
4. Step 4: Simplify right side
   1,659.94x = 3,816,406.44
5. Step 5: Solve for x
   x = 3,816,406.44/1,659.94
6. Step 6: Final answer
   x = 2,299.13