Finding the Third Proportional to 892.69 and 1,918.27

Step by Step Solution

1. Step 1: Write the proportion equation
   892.69 : 1,918.27 = 1,918.27 : x
2. Step 2: Convert to fraction form
   892.69/1,918.27 = 1,918.27/x
3. Step 3: Cross multiply
   892.69x = 1,918.27 × 1,918.27
4. Step 4: Simplify right side
   892.69x = 3,679,743.01
5. Step 5: Solve for x
   x = 3,679,743.01/892.69
6. Step 6: Final answer
   x = 4,122.10