Finding the Third Proportional to 5,769 and 12,225.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,769 : 12,225.38 = 12,225.38 : x
2. Step 2: Convert to fraction form
   5,769/12,225.38 = 12,225.38/x
3. Step 3: Cross multiply
   5,769x = 12,225.38 × 12,225.38
4. Step 4: Simplify right side
   5,769x = 149,459,793.89
5. Step 5: Solve for x
   x = 149,459,793.89/5,769
6. Step 6: Final answer
   x = 25,907.40