Finding the Third Proportional to 1,968.05 and 5,296.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,968.05 : 5,296.64 = 5,296.64 : x
2. Step 2: Convert to fraction form
   1,968.05/5,296.64 = 5,296.64/x
3. Step 3: Cross multiply
   1,968.05x = 5,296.64 × 5,296.64
4. Step 4: Simplify right side
   1,968.05x = 28,054,401.91
5. Step 5: Solve for x
   x = 28,054,401.91/1,968.05
6. Step 6: Final answer
   x = 14,254.95