Finding the Third Proportional to 1,261.83 and 1,919.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,261.83 : 1,919.53 = 1,919.53 : x
2. Step 2: Convert to fraction form
   1,261.83/1,919.53 = 1,919.53/x
3. Step 3: Cross multiply
   1,261.83x = 1,919.53 × 1,919.53
4. Step 4: Simplify right side
   1,261.83x = 3,684,600.22
5. Step 5: Solve for x
   x = 3,684,600.22/1,261.83
6. Step 6: Final answer
   x = 2,920.05