Finding the Third Proportional to 942.19 and 1,327.31

Step by Step Solution

1. Step 1: Write the proportion equation
   942.19 : 1,327.31 = 1,327.31 : x
2. Step 2: Convert to fraction form
   942.19/1,327.31 = 1,327.31/x
3. Step 3: Cross multiply
   942.19x = 1,327.31 × 1,327.31
4. Step 4: Simplify right side
   942.19x = 1,761,758.47
5. Step 5: Solve for x
   x = 1,761,758.47/942.19
6. Step 6: Final answer
   x = 1,869.86