Finding the Third Proportional to 5,188 and 10,882

Step by Step Solution

1. Step 1: Write the proportion equation
   5,188 : 10,882 = 10,882 : x
2. Step 2: Convert to fraction form
   5,188/10,882 = 10,882/x
3. Step 3: Cross multiply
   5,188x = 10,882 × 10,882
4. Step 4: Simplify right side
   5,188x = 118,417,924
5. Step 5: Solve for x
   x = 118,417,924/5,188
6. Step 6: Final answer
   x = 22,825.35