Finding the Third Proportional to 1,017.56 and 1,364.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.56 : 1,364.34 = 1,364.34 : x
2. Step 2: Convert to fraction form
   1,017.56/1,364.34 = 1,364.34/x
3. Step 3: Cross multiply
   1,017.56x = 1,364.34 × 1,364.34
4. Step 4: Simplify right side
   1,017.56x = 1,861,433.87
5. Step 5: Solve for x
   x = 1,861,433.87/1,017.56
6. Step 6: Final answer
   x = 1,829.31