Finding the Third Proportional to 1,405.69 and 2,151.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.69 : 2,151.14 = 2,151.14 : x
2. Step 2: Convert to fraction form
   1,405.69/2,151.14 = 2,151.14/x
3. Step 3: Cross multiply
   1,405.69x = 2,151.14 × 2,151.14
4. Step 4: Simplify right side
   1,405.69x = 4,627,405.99
5. Step 5: Solve for x
   x = 4,627,405.99/1,405.69
6. Step 6: Final answer
   x = 3,291.92