Finding the Third Proportional to 1,561.94 and 3,299.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,561.94 : 3,299.48 = 3,299.48 : x
2. Step 2: Convert to fraction form
   1,561.94/3,299.48 = 3,299.48/x
3. Step 3: Cross multiply
   1,561.94x = 3,299.48 × 3,299.48
4. Step 4: Simplify right side
   1,561.94x = 10,886,597.14
5. Step 5: Solve for x
   x = 10,886,597.14/1,561.94
6. Step 6: Final answer
   x = 6,969.92