Finding the Third Proportional to 969.75 and 2,404.69

Step by Step Solution

1. Step 1: Write the proportion equation
   969.75 : 2,404.69 = 2,404.69 : x
2. Step 2: Convert to fraction form
   969.75/2,404.69 = 2,404.69/x
3. Step 3: Cross multiply
   969.75x = 2,404.69 × 2,404.69
4. Step 4: Simplify right side
   969.75x = 5,782,521.97
5. Step 5: Solve for x
   x = 5,782,521.97/969.75
6. Step 6: Final answer
   x = 5,962.90