Finding the Third Proportional to 11,866.50 and 25,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,866.50 : 25,636.50 = 25,636.50 : x
2. Step 2: Convert to fraction form
   11,866.50/25,636.50 = 25,636.50/x
3. Step 3: Cross multiply
   11,866.50x = 25,636.50 × 25,636.50
4. Step 4: Simplify right side
   11,866.50x = 657,230,132.25
5. Step 5: Solve for x
   x = 657,230,132.25/11,866.50
6. Step 6: Final answer
   x = 55,385.34