Finding the Third Proportional to 13,536 and 21,268.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,536 : 21,268.50 = 21,268.50 : x
2. Step 2: Convert to fraction form
   13,536/21,268.50 = 21,268.50/x
3. Step 3: Cross multiply
   13,536x = 21,268.50 × 21,268.50
4. Step 4: Simplify right side
   13,536x = 452,349,092.25
5. Step 5: Solve for x
   x = 452,349,092.25/13,536
6. Step 6: Final answer
   x = 33,418.22