Finding the Third Proportional to 1,030.50 and 1,638.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.50 : 1,638.38 = 1,638.38 : x
2. Step 2: Convert to fraction form
   1,030.50/1,638.38 = 1,638.38/x
3. Step 3: Cross multiply
   1,030.50x = 1,638.38 × 1,638.38
4. Step 4: Simplify right side
   1,030.50x = 2,684,272.64
5. Step 5: Solve for x
   x = 2,684,272.64/1,030.50
6. Step 6: Final answer
   x = 2,604.83