Finding the Third Proportional to 2,109.80 and 4,772.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.80 : 4,772.67 = 4,772.67 : x
2. Step 2: Convert to fraction form
   2,109.80/4,772.67 = 4,772.67/x
3. Step 3: Cross multiply
   2,109.80x = 4,772.67 × 4,772.67
4. Step 4: Simplify right side
   2,109.80x = 22,778,396.83
5. Step 5: Solve for x
   x = 22,778,396.83/2,109.80
6. Step 6: Final answer
   x = 10,796.49