Finding the Third Proportional to 11,711.50 and 20,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,711.50 : 20,823.50 = 20,823.50 : x
2. Step 2: Convert to fraction form
   11,711.50/20,823.50 = 20,823.50/x
3. Step 3: Cross multiply
   11,711.50x = 20,823.50 × 20,823.50
4. Step 4: Simplify right side
   11,711.50x = 433,618,152.25
5. Step 5: Solve for x
   x = 433,618,152.25/11,711.50
6. Step 6: Final answer
   x = 37,024.99