Finding the Third Proportional to 2,312 and 2,648

Step by Step Solution

1. Step 1: Write the proportion equation
   2,312 : 2,648 = 2,648 : x
2. Step 2: Convert to fraction form
   2,312/2,648 = 2,648/x
3. Step 3: Cross multiply
   2,312x = 2,648 × 2,648
4. Step 4: Simplify right side
   2,312x = 7,011,904
5. Step 5: Solve for x
   x = 7,011,904/2,312
6. Step 6: Final answer
   x = 3,032.83