Finding the Third Proportional to 13,656 and 20,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,656 : 20,266.50 = 20,266.50 : x
2. Step 2: Convert to fraction form
   13,656/20,266.50 = 20,266.50/x
3. Step 3: Cross multiply
   13,656x = 20,266.50 × 20,266.50
4. Step 4: Simplify right side
   13,656x = 410,731,022.25
5. Step 5: Solve for x
   x = 410,731,022.25/13,656
6. Step 6: Final answer
   x = 30,076.96