Finding the Third Proportional to 5,194 and 10,910

Step by Step Solution

1. Step 1: Write the proportion equation
   5,194 : 10,910 = 10,910 : x
2. Step 2: Convert to fraction form
   5,194/10,910 = 10,910/x
3. Step 3: Cross multiply
   5,194x = 10,910 × 10,910
4. Step 4: Simplify right side
   5,194x = 119,028,100
5. Step 5: Solve for x
   x = 119,028,100/5,194
6. Step 6: Final answer
   x = 22,916.46