Finding the Third Proportional to 4,892.25 and 10,665.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,892.25 : 10,665.75 = 10,665.75 : x
2. Step 2: Convert to fraction form
   4,892.25/10,665.75 = 10,665.75/x
3. Step 3: Cross multiply
   4,892.25x = 10,665.75 × 10,665.75
4. Step 4: Simplify right side
   4,892.25x = 113,758,223.06
5. Step 5: Solve for x
   x = 113,758,223.06/4,892.25
6. Step 6: Final answer
   x = 23,252.74