Finding the Third Proportional to 1,003.32 and 2,076.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.32 : 2,076.57 = 2,076.57 : x
2. Step 2: Convert to fraction form
   1,003.32/2,076.57 = 2,076.57/x
3. Step 3: Cross multiply
   1,003.32x = 2,076.57 × 2,076.57
4. Step 4: Simplify right side
   1,003.32x = 4,312,160.49
5. Step 5: Solve for x
   x = 4,312,160.49/1,003.32
6. Step 6: Final answer
   x = 4,297.87