Finding the Third Proportional to 1,405.69 and 3,070.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.69 : 3,070.69 = 3,070.69 : x
2. Step 2: Convert to fraction form
   1,405.69/3,070.69 = 3,070.69/x
3. Step 3: Cross multiply
   1,405.69x = 3,070.69 × 3,070.69
4. Step 4: Simplify right side
   1,405.69x = 9,429,121.72
5. Step 5: Solve for x
   x = 9,429,121.72/1,405.69
6. Step 6: Final answer
   x = 6,707.84