Finding the Third Proportional to 1,098.98 and 2,288.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,098.98 : 2,288.67 = 2,288.67 : x
2. Step 2: Convert to fraction form
   1,098.98/2,288.67 = 2,288.67/x
3. Step 3: Cross multiply
   1,098.98x = 2,288.67 × 2,288.67
4. Step 4: Simplify right side
   1,098.98x = 5,238,018.95
5. Step 5: Solve for x
   x = 5,238,018.95/1,098.98
6. Step 6: Final answer
   x = 4,766.24