Finding the Third Proportional to 36,633.25 and 79,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,633.25 : 79,827.50 = 79,827.50 : x
2. Step 2: Convert to fraction form
   36,633.25/79,827.50 = 79,827.50/x
3. Step 3: Cross multiply
   36,633.25x = 79,827.50 × 79,827.50
4. Step 4: Simplify right side
   36,633.25x = 6,372,429,756.25
5. Step 5: Solve for x
   x = 6,372,429,756.25/36,633.25
6. Step 6: Final answer
   x = 173,952.07