Finding the Third Proportional to 1,404.84 and 3,069.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.84 : 3,069.14 = 3,069.14 : x
2. Step 2: Convert to fraction form
   1,404.84/3,069.14 = 3,069.14/x
3. Step 3: Cross multiply
   1,404.84x = 3,069.14 × 3,069.14
4. Step 4: Simplify right side
   1,404.84x = 9,419,624.18
5. Step 5: Solve for x
   x = 9,419,624.18/1,404.84
6. Step 6: Final answer
   x = 6,705.10