Finding the Third Proportional to 1,020.38 and 1,537.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.38 : 1,537.88 = 1,537.88 : x
2. Step 2: Convert to fraction form
   1,020.38/1,537.88 = 1,537.88/x
3. Step 3: Cross multiply
   1,020.38x = 1,537.88 × 1,537.88
4. Step 4: Simplify right side
   1,020.38x = 2,365,059.52
5. Step 5: Solve for x
   x = 2,365,059.52/1,020.38
6. Step 6: Final answer
   x = 2,317.83