Finding the Third Proportional to 2,284.38 and 4,748.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,284.38 : 4,748.31 = 4,748.31 : x
2. Step 2: Convert to fraction form
   2,284.38/4,748.31 = 4,748.31/x
3. Step 3: Cross multiply
   2,284.38x = 4,748.31 × 4,748.31
4. Step 4: Simplify right side
   2,284.38x = 22,546,471.60
5. Step 5: Solve for x
   x = 22,546,471.60/2,284.38
6. Step 6: Final answer
   x = 9,869.86