Finding the Third Proportional to 2,905.88 and 7,165.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,905.88 : 7,165.13 = 7,165.13 : x
2. Step 2: Convert to fraction form
   2,905.88/7,165.13 = 7,165.13/x
3. Step 3: Cross multiply
   2,905.88x = 7,165.13 × 7,165.13
4. Step 4: Simplify right side
   2,905.88x = 51,339,016.27
5. Step 5: Solve for x
   x = 51,339,016.27/2,905.88
6. Step 6: Final answer
   x = 17,667.32