Finding the Third Proportional to 1,098.94 and 1,596.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,098.94 : 1,596.56 = 1,596.56 : x
2. Step 2: Convert to fraction form
   1,098.94/1,596.56 = 1,596.56/x
3. Step 3: Cross multiply
   1,098.94x = 1,596.56 × 1,596.56
4. Step 4: Simplify right side
   1,098.94x = 2,549,011.82
5. Step 5: Solve for x
   x = 2,549,011.82/1,098.94
6. Step 6: Final answer
   x = 2,319.52