Finding the Third Proportional to 2,941.63 and 4,114.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,941.63 : 4,114.39 = 4,114.39 : x
2. Step 2: Convert to fraction form
   2,941.63/4,114.39 = 4,114.39/x
3. Step 3: Cross multiply
   2,941.63x = 4,114.39 × 4,114.39
4. Step 4: Simplify right side
   2,941.63x = 16,928,194.14
5. Step 5: Solve for x
   x = 16,928,194.14/2,941.63
6. Step 6: Final answer
   x = 5,754.70