Finding the Third Proportional to 5,623.59 and 12,098.53

Step by Step Solution

1. Step 1: Write the proportion equation
   5,623.59 : 12,098.53 = 12,098.53 : x
2. Step 2: Convert to fraction form
   5,623.59/12,098.53 = 12,098.53/x
3. Step 3: Cross multiply
   5,623.59x = 12,098.53 × 12,098.53
4. Step 4: Simplify right side
   5,623.59x = 146,374,458.41
5. Step 5: Solve for x
   x = 146,374,458.41/5,623.59
6. Step 6: Final answer
   x = 26,028.63