Finding the Third Proportional to 2,054 and 2,414

Step by Step Solution

1. Step 1: Write the proportion equation
   2,054 : 2,414 = 2,414 : x
2. Step 2: Convert to fraction form
   2,054/2,414 = 2,414/x
3. Step 3: Cross multiply
   2,054x = 2,414 × 2,414
4. Step 4: Simplify right side
   2,054x = 5,827,396
5. Step 5: Solve for x
   x = 5,827,396/2,054
6. Step 6: Final answer
   x = 2,837.10