Finding the Third Proportional to 5,876 and 10,222

Step by Step Solution

1. Step 1: Write the proportion equation
   5,876 : 10,222 = 10,222 : x
2. Step 2: Convert to fraction form
   5,876/10,222 = 10,222/x
3. Step 3: Cross multiply
   5,876x = 10,222 × 10,222
4. Step 4: Simplify right side
   5,876x = 104,489,284
5. Step 5: Solve for x
   x = 104,489,284/5,876
6. Step 6: Final answer
   x = 17,782.38