Finding the Third Proportional to 3,476.25 and 5,936.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,476.25 : 5,936.63 = 5,936.63 : x
2. Step 2: Convert to fraction form
   3,476.25/5,936.63 = 5,936.63/x
3. Step 3: Cross multiply
   3,476.25x = 5,936.63 × 5,936.63
4. Step 4: Simplify right side
   3,476.25x = 35,243,516.39
5. Step 5: Solve for x
   x = 35,243,516.39/3,476.25
6. Step 6: Final answer
   x = 10,138.37