Finding the Third Proportional to 11,653.50 and 20,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,653.50 : 20,836.50 = 20,836.50 : x
2. Step 2: Convert to fraction form
   11,653.50/20,836.50 = 20,836.50/x
3. Step 3: Cross multiply
   11,653.50x = 20,836.50 × 20,836.50
4. Step 4: Simplify right side
   11,653.50x = 434,159,732.25
5. Step 5: Solve for x
   x = 434,159,732.25/11,653.50
6. Step 6: Final answer
   x = 37,255.74