Finding the Third Proportional to 11,628 and 25,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,628 : 25,852.50 = 25,852.50 : x
2. Step 2: Convert to fraction form
   11,628/25,852.50 = 25,852.50/x
3. Step 3: Cross multiply
   11,628x = 25,852.50 × 25,852.50
4. Step 4: Simplify right side
   11,628x = 668,351,756.25
5. Step 5: Solve for x
   x = 668,351,756.25/11,628
6. Step 6: Final answer
   x = 57,477.79