Finding the Third Proportional to 36,678 and 53,287.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,678 : 53,287.50 = 53,287.50 : x
2. Step 2: Convert to fraction form
   36,678/53,287.50 = 53,287.50/x
3. Step 3: Cross multiply
   36,678x = 53,287.50 × 53,287.50
4. Step 4: Simplify right side
   36,678x = 2,839,557,656.25
5. Step 5: Solve for x
   x = 2,839,557,656.25/36,678
6. Step 6: Final answer
   x = 77,418.55