Finding the Third Proportional to 2,166.75 and 4,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,166.75 : 4,738.50 = 4,738.50 : x
2. Step 2: Convert to fraction form
   2,166.75/4,738.50 = 4,738.50/x
3. Step 3: Cross multiply
   2,166.75x = 4,738.50 × 4,738.50
4. Step 4: Simplify right side
   2,166.75x = 22,453,382.25
5. Step 5: Solve for x
   x = 22,453,382.25/2,166.75
6. Step 6: Final answer
   x = 10,362.70