Finding the Third Proportional to 1,148 and 2,510

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148 : 2,510 = 2,510 : x
2. Step 2: Convert to fraction form
   1,148/2,510 = 2,510/x
3. Step 3: Cross multiply
   1,148x = 2,510 × 2,510
4. Step 4: Simplify right side
   1,148x = 6,300,100
5. Step 5: Solve for x
   x = 6,300,100/1,148
6. Step 6: Final answer
   x = 5,487.89