Finding the Third Proportional to 2,065.50 and 2,941.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,065.50 : 2,941.31 = 2,941.31 : x
2. Step 2: Convert to fraction form
   2,065.50/2,941.31 = 2,941.31/x
3. Step 3: Cross multiply
   2,065.50x = 2,941.31 × 2,941.31
4. Step 4: Simplify right side
   2,065.50x = 8,651,319.22
5. Step 5: Solve for x
   x = 8,651,319.22/2,065.50
6. Step 6: Final answer
   x = 4,188.49