Finding the Third Proportional to 5,099 and 10,516

Step by Step Solution

1. Step 1: Write the proportion equation
   5,099 : 10,516 = 10,516 : x
2. Step 2: Convert to fraction form
   5,099/10,516 = 10,516/x
3. Step 3: Cross multiply
   5,099x = 10,516 × 10,516
4. Step 4: Simplify right side
   5,099x = 110,586,256
5. Step 5: Solve for x
   x = 110,586,256/5,099
6. Step 6: Final answer
   x = 21,687.83