Finding the Third Proportional to 848.81 and 1,189.27

Step by Step Solution

1. Step 1: Write the proportion equation
   848.81 : 1,189.27 = 1,189.27 : x
2. Step 2: Convert to fraction form
   848.81/1,189.27 = 1,189.27/x
3. Step 3: Cross multiply
   848.81x = 1,189.27 × 1,189.27
4. Step 4: Simplify right side
   848.81x = 1,414,352.73
5. Step 5: Solve for x
   x = 1,414,352.73/848.81
6. Step 6: Final answer
   x = 1,666.27