Finding the Third Proportional to 2,162.74 and 4,672.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,162.74 : 4,672.90 = 4,672.90 : x
2. Step 2: Convert to fraction form
   2,162.74/4,672.90 = 4,672.90/x
3. Step 3: Cross multiply
   2,162.74x = 4,672.90 × 4,672.90
4. Step 4: Simplify right side
   2,162.74x = 21,835,979.81
5. Step 5: Solve for x
   x = 21,835,979.81/2,162.74
6. Step 6: Final answer
   x = 10,096.43