Finding the Third Proportional to 1,238.06 and 1,919.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.06 : 1,919.81 = 1,919.81 : x
2. Step 2: Convert to fraction form
   1,238.06/1,919.81 = 1,919.81/x
3. Step 3: Cross multiply
   1,238.06x = 1,919.81 × 1,919.81
4. Step 4: Simplify right side
   1,238.06x = 3,685,680.04
5. Step 5: Solve for x
   x = 3,685,680.04/1,238.06
6. Step 6: Final answer
   x = 2,976.97