Finding the Third Proportional to 1,461.09 and 2,268.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.09 : 2,268.42 = 2,268.42 : x
2. Step 2: Convert to fraction form
   1,461.09/2,268.42 = 2,268.42/x
3. Step 3: Cross multiply
   1,461.09x = 2,268.42 × 2,268.42
4. Step 4: Simplify right side
   1,461.09x = 5,145,737.80
5. Step 5: Solve for x
   x = 5,145,737.80/1,461.09
6. Step 6: Final answer
   x = 3,521.84