Finding the Third Proportional to 5,212.13 and 10,605.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,212.13 : 10,605.38 = 10,605.38 : x
2. Step 2: Convert to fraction form
   5,212.13/10,605.38 = 10,605.38/x
3. Step 3: Cross multiply
   5,212.13x = 10,605.38 × 10,605.38
4. Step 4: Simplify right side
   5,212.13x = 112,473,978.89
5. Step 5: Solve for x
   x = 112,473,978.89/5,212.13
6. Step 6: Final answer
   x = 21,579.29