Finding the Third Proportional to 1,309.69 and 1,964.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,309.69 : 1,964.53 = 1,964.53 : x
2. Step 2: Convert to fraction form
   1,309.69/1,964.53 = 1,964.53/x
3. Step 3: Cross multiply
   1,309.69x = 1,964.53 × 1,964.53
4. Step 4: Simplify right side
   1,309.69x = 3,859,383.03
5. Step 5: Solve for x
   x = 3,859,383.03/1,309.69
6. Step 6: Final answer
   x = 2,946.80