Finding the Third Proportional to 5,178 and 10,862

Step by Step Solution

1. Step 1: Write the proportion equation
   5,178 : 10,862 = 10,862 : x
2. Step 2: Convert to fraction form
   5,178/10,862 = 10,862/x
3. Step 3: Cross multiply
   5,178x = 10,862 × 10,862
4. Step 4: Simplify right side
   5,178x = 117,983,044
5. Step 5: Solve for x
   x = 117,983,044/5,178
6. Step 6: Final answer
   x = 22,785.45