Finding the Third Proportional to 11,583 and 25,307.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,583 : 25,307.25 = 25,307.25 : x
2. Step 2: Convert to fraction form
   11,583/25,307.25 = 25,307.25/x
3. Step 3: Cross multiply
   11,583x = 25,307.25 × 25,307.25
4. Step 4: Simplify right side
   11,583x = 640,456,902.56
5. Step 5: Solve for x
   x = 640,456,902.56/11,583
6. Step 6: Final answer
   x = 55,292.83