Finding the Third Proportional to 2,457 and 5,375.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,457 : 5,375.25 = 5,375.25 : x
2. Step 2: Convert to fraction form
   2,457/5,375.25 = 5,375.25/x
3. Step 3: Cross multiply
   2,457x = 5,375.25 × 5,375.25
4. Step 4: Simplify right side
   2,457x = 28,893,312.56
5. Step 5: Solve for x
   x = 28,893,312.56/2,457
6. Step 6: Final answer
   x = 11,759.59