Finding the Third Proportional to 13,756.50 and 20,766.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,756.50 : 20,766.38 = 20,766.38 : x
2. Step 2: Convert to fraction form
   13,756.50/20,766.38 = 20,766.38/x
3. Step 3: Cross multiply
   13,756.50x = 20,766.38 × 20,766.38
4. Step 4: Simplify right side
   13,756.50x = 431,242,330.64
5. Step 5: Solve for x
   x = 431,242,330.64/13,756.50
6. Step 6: Final answer
   x = 31,348.26