Finding the Third Proportional to 1,003.50 and 1,410.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.50 : 1,410.38 = 1,410.38 : x
2. Step 2: Convert to fraction form
   1,003.50/1,410.38 = 1,410.38/x
3. Step 3: Cross multiply
   1,003.50x = 1,410.38 × 1,410.38
4. Step 4: Simplify right side
   1,003.50x = 1,989,157.64
5. Step 5: Solve for x
   x = 1,989,157.64/1,003.50
6. Step 6: Final answer
   x = 1,982.22