Finding the Third Proportional to 7,858.69 and 10,822.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,858.69 : 10,822.78 = 10,822.78 : x
2. Step 2: Convert to fraction form
   7,858.69/10,822.78 = 10,822.78/x
3. Step 3: Cross multiply
   7,858.69x = 10,822.78 × 10,822.78
4. Step 4: Simplify right side
   7,858.69x = 117,132,593.99
5. Step 5: Solve for x
   x = 117,132,593.99/7,858.69
6. Step 6: Final answer
   x = 14,904.85