Finding the Third Proportional to 967.78 and 2,003.06

Step by Step Solution

1. Step 1: Write the proportion equation
   967.78 : 2,003.06 = 2,003.06 : x
2. Step 2: Convert to fraction form
   967.78/2,003.06 = 2,003.06/x
3. Step 3: Cross multiply
   967.78x = 2,003.06 × 2,003.06
4. Step 4: Simplify right side
   967.78x = 4,012,259.38
5. Step 5: Solve for x
   x = 4,012,259.38/967.78
6. Step 6: Final answer
   x = 4,145.83