Finding the Third Proportional to 5,214.38 and 10,774.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,214.38 : 10,774.69 = 10,774.69 : x
2. Step 2: Convert to fraction form
   5,214.38/10,774.69 = 10,774.69/x
3. Step 3: Cross multiply
   5,214.38x = 10,774.69 × 10,774.69
4. Step 4: Simplify right side
   5,214.38x = 116,093,890.72
5. Step 5: Solve for x
   x = 116,093,890.72/5,214.38
6. Step 6: Final answer
   x = 22,264.20