Finding the Third Proportional to 1,521.56 and 2,098.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,521.56 : 2,098.83 = 2,098.83 : x
2. Step 2: Convert to fraction form
   1,521.56/2,098.83 = 2,098.83/x
3. Step 3: Cross multiply
   1,521.56x = 2,098.83 × 2,098.83
4. Step 4: Simplify right side
   1,521.56x = 4,405,079.50
5. Step 5: Solve for x
   x = 4,405,079.50/1,521.56
6. Step 6: Final answer
   x = 2,895.10