Finding the Third Proportional to 2,822.50 and 5,969

Step by Step Solution

1. Step 1: Write the proportion equation
   2,822.50 : 5,969 = 5,969 : x
2. Step 2: Convert to fraction form
   2,822.50/5,969 = 5,969/x
3. Step 3: Cross multiply
   2,822.50x = 5,969 × 5,969
4. Step 4: Simplify right side
   2,822.50x = 35,628,961
5. Step 5: Solve for x
   x = 35,628,961/2,822.50
6. Step 6: Final answer
   x = 12,623.19