Finding the Third Proportional to 2,165.63 and 4,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,165.63 : 4,684.50 = 4,684.50 : x
2. Step 2: Convert to fraction form
   2,165.63/4,684.50 = 4,684.50/x
3. Step 3: Cross multiply
   2,165.63x = 4,684.50 × 4,684.50
4. Step 4: Simplify right side
   2,165.63x = 21,944,540.25
5. Step 5: Solve for x
   x = 21,944,540.25/2,165.63
6. Step 6: Final answer
   x = 10,133.12