Finding the Third Proportional to 2,196 and 4,786.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,196 : 4,786.31 = 4,786.31 : x
2. Step 2: Convert to fraction form
   2,196/4,786.31 = 4,786.31/x
3. Step 3: Cross multiply
   2,196x = 4,786.31 × 4,786.31
4. Step 4: Simplify right side
   2,196x = 22,908,787.35
5. Step 5: Solve for x
   x = 22,908,787.35/2,196
6. Step 6: Final answer
   x = 10,432.05