Finding the Third Proportional to 1,996.31 and 4,662.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,996.31 : 4,662.56 = 4,662.56 : x
2. Step 2: Convert to fraction form
   1,996.31/4,662.56 = 4,662.56/x
3. Step 3: Cross multiply
   1,996.31x = 4,662.56 × 4,662.56
4. Step 4: Simplify right side
   1,996.31x = 21,739,489.07
5. Step 5: Solve for x
   x = 21,739,489.07/1,996.31
6. Step 6: Final answer
   x = 10,889.82