Finding the Third Proportional to 36,599.25 and 79,891.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,599.25 : 79,891.50 = 79,891.50 : x
2. Step 2: Convert to fraction form
   36,599.25/79,891.50 = 79,891.50/x
3. Step 3: Cross multiply
   36,599.25x = 79,891.50 × 79,891.50
4. Step 4: Simplify right side
   36,599.25x = 6,382,651,772.25
5. Step 5: Solve for x
   x = 6,382,651,772.25/36,599.25
6. Step 6: Final answer
   x = 174,392.97