Finding the Third Proportional to 24,645 and 33,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,645 : 33,727.50 = 33,727.50 : x
2. Step 2: Convert to fraction form
   24,645/33,727.50 = 33,727.50/x
3. Step 3: Cross multiply
   24,645x = 33,727.50 × 33,727.50
4. Step 4: Simplify right side
   24,645x = 1,137,544,256.25
5. Step 5: Solve for x
   x = 1,137,544,256.25/24,645
6. Step 6: Final answer
   x = 46,157.20