Finding the Third Proportional to 5,890 and 10,862

Step by Step Solution

1. Step 1: Write the proportion equation
   5,890 : 10,862 = 10,862 : x
2. Step 2: Convert to fraction form
   5,890/10,862 = 10,862/x
3. Step 3: Cross multiply
   5,890x = 10,862 × 10,862
4. Step 4: Simplify right side
   5,890x = 117,983,044
5. Step 5: Solve for x
   x = 117,983,044/5,890
6. Step 6: Final answer
   x = 20,031.08