Finding the Third Proportional to 2,005.88 and 4,832.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.88 : 4,832.38 = 4,832.38 : x
2. Step 2: Convert to fraction form
   2,005.88/4,832.38 = 4,832.38/x
3. Step 3: Cross multiply
   2,005.88x = 4,832.38 × 4,832.38
4. Step 4: Simplify right side
   2,005.88x = 23,351,848.14
5. Step 5: Solve for x
   x = 23,351,848.14/2,005.88
6. Step 6: Final answer
   x = 11,641.73