Finding the Third Proportional to 7,665 and 17,912.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,665 : 17,912.25 = 17,912.25 : x
2. Step 2: Convert to fraction form
   7,665/17,912.25 = 17,912.25/x
3. Step 3: Cross multiply
   7,665x = 17,912.25 × 17,912.25
4. Step 4: Simplify right side
   7,665x = 320,848,700.06
5. Step 5: Solve for x
   x = 320,848,700.06/7,665
6. Step 6: Final answer
   x = 41,858.93