Finding the Third Proportional to 1,012 and 1,310

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012 : 1,310 = 1,310 : x
2. Step 2: Convert to fraction form
   1,012/1,310 = 1,310/x
3. Step 3: Cross multiply
   1,012x = 1,310 × 1,310
4. Step 4: Simplify right side
   1,012x = 1,716,100
5. Step 5: Solve for x
   x = 1,716,100/1,012
6. Step 6: Final answer
   x = 1,695.75