Finding the Third Proportional to 1,416.75 and 3,061.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.75 : 3,061.69 = 3,061.69 : x
2. Step 2: Convert to fraction form
   1,416.75/3,061.69 = 3,061.69/x
3. Step 3: Cross multiply
   1,416.75x = 3,061.69 × 3,061.69
4. Step 4: Simplify right side
   1,416.75x = 9,373,930.35
5. Step 5: Solve for x
   x = 9,373,930.35/1,416.75
6. Step 6: Final answer
   x = 6,616.50