Finding the Third Proportional to 1,003.50 and 1,459.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.50 : 1,459.38 = 1,459.38 : x
2. Step 2: Convert to fraction form
   1,003.50/1,459.38 = 1,459.38/x
3. Step 3: Cross multiply
   1,003.50x = 1,459.38 × 1,459.38
4. Step 4: Simplify right side
   1,003.50x = 2,129,775.39
5. Step 5: Solve for x
   x = 2,129,775.39/1,003.50
6. Step 6: Final answer
   x = 2,122.35