Finding the Third Proportional to 1,012 and 1,360.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012 : 1,360.25 = 1,360.25 : x
2. Step 2: Convert to fraction form
   1,012/1,360.25 = 1,360.25/x
3. Step 3: Cross multiply
   1,012x = 1,360.25 × 1,360.25
4. Step 4: Simplify right side
   1,012x = 1,850,280.06
5. Step 5: Solve for x
   x = 1,850,280.06/1,012
6. Step 6: Final answer
   x = 1,828.34