Finding the Third Proportional to 2,144 and 4,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,144 : 4,698.50 = 4,698.50 : x
2. Step 2: Convert to fraction form
   2,144/4,698.50 = 4,698.50/x
3. Step 3: Cross multiply
   2,144x = 4,698.50 × 4,698.50
4. Step 4: Simplify right side
   2,144x = 22,075,902.25
5. Step 5: Solve for x
   x = 22,075,902.25/2,144
6. Step 6: Final answer
   x = 10,296.60