Finding the Third Proportional to 2,846.81 and 4,172.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,846.81 : 4,172.34 = 4,172.34 : x
2. Step 2: Convert to fraction form
   2,846.81/4,172.34 = 4,172.34/x
3. Step 3: Cross multiply
   2,846.81x = 4,172.34 × 4,172.34
4. Step 4: Simplify right side
   2,846.81x = 17,408,452.37
5. Step 5: Solve for x
   x = 17,408,452.37/2,846.81
6. Step 6: Final answer
   x = 6,115.07