Finding the Third Proportional to 5,300 and 10,118

Step by Step Solution

1. Step 1: Write the proportion equation
   5,300 : 10,118 = 10,118 : x
2. Step 2: Convert to fraction form
   5,300/10,118 = 10,118/x
3. Step 3: Cross multiply
   5,300x = 10,118 × 10,118
4. Step 4: Simplify right side
   5,300x = 102,373,924
5. Step 5: Solve for x
   x = 102,373,924/5,300
6. Step 6: Final answer
   x = 19,315.83