Finding the Third Proportional to 11,836 and 25,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,836 : 25,517.50 = 25,517.50 : x
2. Step 2: Convert to fraction form
   11,836/25,517.50 = 25,517.50/x
3. Step 3: Cross multiply
   11,836x = 25,517.50 × 25,517.50
4. Step 4: Simplify right side
   11,836x = 651,142,806.25
5. Step 5: Solve for x
   x = 651,142,806.25/11,836
6. Step 6: Final answer
   x = 55,013.76