Finding the Third Proportional to 2,188.64 and 4,684.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,188.64 : 4,684.83 = 4,684.83 : x
2. Step 2: Convert to fraction form
   2,188.64/4,684.83 = 4,684.83/x
3. Step 3: Cross multiply
   2,188.64x = 4,684.83 × 4,684.83
4. Step 4: Simplify right side
   2,188.64x = 21,947,614.56
5. Step 5: Solve for x
   x = 21,947,614.56/2,188.64
6. Step 6: Final answer
   x = 10,027.97