Finding the Third Proportional to 2,165.34 and 4,676.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,165.34 : 4,676.91 = 4,676.91 : x
2. Step 2: Convert to fraction form
   2,165.34/4,676.91 = 4,676.91/x
3. Step 3: Cross multiply
   2,165.34x = 4,676.91 × 4,676.91
4. Step 4: Simplify right side
   2,165.34x = 21,873,452.07
5. Step 5: Solve for x
   x = 21,873,452.07/2,165.34
6. Step 6: Final answer
   x = 10,101.61