Finding the Third Proportional to 2,138.27 and 4,677.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138.27 : 4,677.12 = 4,677.12 : x
2. Step 2: Convert to fraction form
   2,138.27/4,677.12 = 4,677.12/x
3. Step 3: Cross multiply
   2,138.27x = 4,677.12 × 4,677.12
4. Step 4: Simplify right side
   2,138.27x = 21,875,425.19
5. Step 5: Solve for x
   x = 21,875,425.19/2,138.27
6. Step 6: Final answer
   x = 10,230.42