Finding the Third Proportional to 1,406.53 and 2,145.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.53 : 2,145.23 = 2,145.23 : x
2. Step 2: Convert to fraction form
   1,406.53/2,145.23 = 2,145.23/x
3. Step 3: Cross multiply
   1,406.53x = 2,145.23 × 2,145.23
4. Step 4: Simplify right side
   1,406.53x = 4,602,030.52
5. Step 5: Solve for x
   x = 4,602,030.52/1,406.53
6. Step 6: Final answer
   x = 3,271.90