Finding the Third Proportional to 5,194 and 10,818

Step by Step Solution

1. Step 1: Write the proportion equation
   5,194 : 10,818 = 10,818 : x
2. Step 2: Convert to fraction form
   5,194/10,818 = 10,818/x
3. Step 3: Cross multiply
   5,194x = 10,818 × 10,818
4. Step 4: Simplify right side
   5,194x = 117,029,124
5. Step 5: Solve for x
   x = 117,029,124/5,194
6. Step 6: Final answer
   x = 22,531.60