Finding the Third Proportional to 5,196.69 and 9,914.94

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196.69 : 9,914.94 = 9,914.94 : x
2. Step 2: Convert to fraction form
   5,196.69/9,914.94 = 9,914.94/x
3. Step 3: Cross multiply
   5,196.69x = 9,914.94 × 9,914.94
4. Step 4: Simplify right side
   5,196.69x = 98,305,985.63
5. Step 5: Solve for x
   x = 98,305,985.63/5,196.69
6. Step 6: Final answer
   x = 18,917.05