Finding the Third Proportional to 2,801 and 4,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,801 : 4,409.50 = 4,409.50 : x
2. Step 2: Convert to fraction form
   2,801/4,409.50 = 4,409.50/x
3. Step 3: Cross multiply
   2,801x = 4,409.50 × 4,409.50
4. Step 4: Simplify right side
   2,801x = 19,443,690.25
5. Step 5: Solve for x
   x = 19,443,690.25/2,801
6. Step 6: Final answer
   x = 6,941.70