Finding the Third Proportional to 761.25 and 1,189.31

Step by Step Solution

1. Step 1: Write the proportion equation
   761.25 : 1,189.31 = 1,189.31 : x
2. Step 2: Convert to fraction form
   761.25/1,189.31 = 1,189.31/x
3. Step 3: Cross multiply
   761.25x = 1,189.31 × 1,189.31
4. Step 4: Simplify right side
   761.25x = 1,414,464.22
5. Step 5: Solve for x
   x = 1,414,464.22/761.25
6. Step 6: Final answer
   x = 1,858.08