Finding the Third Proportional to 1,268.63 and 1,919.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,268.63 : 1,919.32 = 1,919.32 : x
2. Step 2: Convert to fraction form
   1,268.63/1,919.32 = 1,919.32/x
3. Step 3: Cross multiply
   1,268.63x = 1,919.32 × 1,919.32
4. Step 4: Simplify right side
   1,268.63x = 3,683,790.46
5. Step 5: Solve for x
   x = 3,683,790.46/1,268.63
6. Step 6: Final answer
   x = 2,903.75