Finding the Third Proportional to 1,017.56 and 1,455.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.56 : 1,455.47 = 1,455.47 : x
2. Step 2: Convert to fraction form
   1,017.56/1,455.47 = 1,455.47/x
3. Step 3: Cross multiply
   1,017.56x = 1,455.47 × 1,455.47
4. Step 4: Simplify right side
   1,017.56x = 2,118,389.28
5. Step 5: Solve for x
   x = 2,118,389.28/1,017.56
6. Step 6: Final answer
   x = 2,081.83