Finding the Third Proportional to 5,386 and 10,970

Step by Step Solution

1. Step 1: Write the proportion equation
   5,386 : 10,970 = 10,970 : x
2. Step 2: Convert to fraction form
   5,386/10,970 = 10,970/x
3. Step 3: Cross multiply
   5,386x = 10,970 × 10,970
4. Step 4: Simplify right side
   5,386x = 120,340,900
5. Step 5: Solve for x
   x = 120,340,900/5,386
6. Step 6: Final answer
   x = 22,343.28