Finding the Third Proportional to 1,406.11 and 2,097.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.11 : 2,097.77 = 2,097.77 : x
2. Step 2: Convert to fraction form
   1,406.11/2,097.77 = 2,097.77/x
3. Step 3: Cross multiply
   1,406.11x = 2,097.77 × 2,097.77
4. Step 4: Simplify right side
   1,406.11x = 4,400,653.40
5. Step 5: Solve for x
   x = 4,400,653.40/1,406.11
6. Step 6: Final answer
   x = 3,129.67