Finding the Third Proportional to 2,402 and 5,093.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,402 : 5,093.25 = 5,093.25 : x
2. Step 2: Convert to fraction form
   2,402/5,093.25 = 5,093.25/x
3. Step 3: Cross multiply
   2,402x = 5,093.25 × 5,093.25
4. Step 4: Simplify right side
   2,402x = 25,941,195.56
5. Step 5: Solve for x
   x = 25,941,195.56/2,402
6. Step 6: Final answer
   x = 10,799.83