Finding the Third Proportional to 2,641.50 and 4,106.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.50 : 4,106.25 = 4,106.25 : x
2. Step 2: Convert to fraction form
   2,641.50/4,106.25 = 4,106.25/x
3. Step 3: Cross multiply
   2,641.50x = 4,106.25 × 4,106.25
4. Step 4: Simplify right side
   2,641.50x = 16,861,289.06
5. Step 5: Solve for x
   x = 16,861,289.06/2,641.50
6. Step 6: Final answer
   x = 6,383.23