Finding the Third Proportional to 2,148.38 and 4,688.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,148.38 : 4,688.25 = 4,688.25 : x
2. Step 2: Convert to fraction form
   2,148.38/4,688.25 = 4,688.25/x
3. Step 3: Cross multiply
   2,148.38x = 4,688.25 × 4,688.25
4. Step 4: Simplify right side
   2,148.38x = 21,979,688.06
5. Step 5: Solve for x
   x = 21,979,688.06/2,148.38
6. Step 6: Final answer
   x = 10,230.84