Finding the Third Proportional to 2,901 and 4,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,901 : 4,563.50 = 4,563.50 : x
2. Step 2: Convert to fraction form
   2,901/4,563.50 = 4,563.50/x
3. Step 3: Cross multiply
   2,901x = 4,563.50 × 4,563.50
4. Step 4: Simplify right side
   2,901x = 20,825,532.25
5. Step 5: Solve for x
   x = 20,825,532.25/2,901
6. Step 6: Final answer
   x = 7,178.74