Finding the Third Proportional to 3,146.34 and 4,744.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,146.34 : 4,744.83 = 4,744.83 : x
2. Step 2: Convert to fraction form
   3,146.34/4,744.83 = 4,744.83/x
3. Step 3: Cross multiply
   3,146.34x = 4,744.83 × 4,744.83
4. Step 4: Simplify right side
   3,146.34x = 22,513,393.94
5. Step 5: Solve for x
   x = 22,513,393.94/3,146.34
6. Step 6: Final answer
   x = 7,155.41