Finding the Third Proportional to 3,402 and 5,823.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,402 : 5,823.56 = 5,823.56 : x
2. Step 2: Convert to fraction form
   3,402/5,823.56 = 5,823.56/x
3. Step 3: Cross multiply
   3,402x = 5,823.56 × 5,823.56
4. Step 4: Simplify right side
   3,402x = 33,913,880.19
5. Step 5: Solve for x
   x = 33,913,880.19/3,402
6. Step 6: Final answer
   x = 9,968.81