Finding the Third Proportional to 5,778 and 12,090

Step by Step Solution

1. Step 1: Write the proportion equation
   5,778 : 12,090 = 12,090 : x
2. Step 2: Convert to fraction form
   5,778/12,090 = 12,090/x
3. Step 3: Cross multiply
   5,778x = 12,090 × 12,090
4. Step 4: Simplify right side
   5,778x = 146,168,100
5. Step 5: Solve for x
   x = 146,168,100/5,778
6. Step 6: Final answer
   x = 25,297.35