Finding the Third Proportional to 1,324 and 1,510

Step by Step Solution

1. Step 1: Write the proportion equation
   1,324 : 1,510 = 1,510 : x
2. Step 2: Convert to fraction form
   1,324/1,510 = 1,510/x
3. Step 3: Cross multiply
   1,324x = 1,510 × 1,510
4. Step 4: Simplify right side
   1,324x = 2,280,100
5. Step 5: Solve for x
   x = 2,280,100/1,324
6. Step 6: Final answer
   x = 1,722.13