Finding the Third Proportional to 1,014 and 1,094

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014 : 1,094 = 1,094 : x
2. Step 2: Convert to fraction form
   1,014/1,094 = 1,094/x
3. Step 3: Cross multiply
   1,014x = 1,094 × 1,094
4. Step 4: Simplify right side
   1,014x = 1,196,836
5. Step 5: Solve for x
   x = 1,196,836/1,014
6. Step 6: Final answer
   x = 1,180.31