Finding the Third Proportional to 17,653.50 and 33,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,653.50 : 33,727.50 = 33,727.50 : x
2. Step 2: Convert to fraction form
   17,653.50/33,727.50 = 33,727.50/x
3. Step 3: Cross multiply
   17,653.50x = 33,727.50 × 33,727.50
4. Step 4: Simplify right side
   17,653.50x = 1,137,544,256.25
5. Step 5: Solve for x
   x = 1,137,544,256.25/17,653.50
6. Step 6: Final answer
   x = 64,437.32