Finding the Third Proportional to 892.88 and 1,366.69

Step by Step Solution

1. Step 1: Write the proportion equation
   892.88 : 1,366.69 = 1,366.69 : x
2. Step 2: Convert to fraction form
   892.88/1,366.69 = 1,366.69/x
3. Step 3: Cross multiply
   892.88x = 1,366.69 × 1,366.69
4. Step 4: Simplify right side
   892.88x = 1,867,834.72
5. Step 5: Solve for x
   x = 1,867,834.72/892.88
6. Step 6: Final answer
   x = 2,091.93