Finding the Third Proportional to 1,276.13 and 2,005.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,276.13 : 2,005.38 = 2,005.38 : x
2. Step 2: Convert to fraction form
   1,276.13/2,005.38 = 2,005.38/x
3. Step 3: Cross multiply
   1,276.13x = 2,005.38 × 2,005.38
4. Step 4: Simplify right side
   1,276.13x = 4,021,528.89
5. Step 5: Solve for x
   x = 4,021,528.89/1,276.13
6. Step 6: Final answer
   x = 3,151.36