Finding the Third Proportional to 2,510 and 5,194

Step by Step Solution

1. Step 1: Write the proportion equation
   2,510 : 5,194 = 5,194 : x
2. Step 2: Convert to fraction form
   2,510/5,194 = 5,194/x
3. Step 3: Cross multiply
   2,510x = 5,194 × 5,194
4. Step 4: Simplify right side
   2,510x = 26,977,636
5. Step 5: Solve for x
   x = 26,977,636/2,510
6. Step 6: Final answer
   x = 10,748.06