Finding the Third Proportional to 5,194 and 10,484

Step by Step Solution

1. Step 1: Write the proportion equation
   5,194 : 10,484 = 10,484 : x
2. Step 2: Convert to fraction form
   5,194/10,484 = 10,484/x
3. Step 3: Cross multiply
   5,194x = 10,484 × 10,484
4. Step 4: Simplify right side
   5,194x = 109,914,256
5. Step 5: Solve for x
   x = 109,914,256/5,194
6. Step 6: Final answer
   x = 21,161.77