Finding the Third Proportional to 36,504 and 79,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,504 : 79,582.50 = 79,582.50 : x
2. Step 2: Convert to fraction form
   36,504/79,582.50 = 79,582.50/x
3. Step 3: Cross multiply
   36,504x = 79,582.50 × 79,582.50
4. Step 4: Simplify right side
   36,504x = 6,333,374,306.25
5. Step 5: Solve for x
   x = 6,333,374,306.25/36,504
6. Step 6: Final answer
   x = 173,498.09