Finding the Third Proportional to 1,086.02 and 1,537.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.02 : 1,537.73 = 1,537.73 : x
2. Step 2: Convert to fraction form
   1,086.02/1,537.73 = 1,537.73/x
3. Step 3: Cross multiply
   1,086.02x = 1,537.73 × 1,537.73
4. Step 4: Simplify right side
   1,086.02x = 2,364,627.01
5. Step 5: Solve for x
   x = 2,364,627.01/1,086.02
6. Step 6: Final answer
   x = 2,177.32