Finding the Third Proportional to 36,096.75 and 79,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,096.75 : 79,168.50 = 79,168.50 : x
2. Step 2: Convert to fraction form
   36,096.75/79,168.50 = 79,168.50/x
3. Step 3: Cross multiply
   36,096.75x = 79,168.50 × 79,168.50
4. Step 4: Simplify right side
   36,096.75x = 6,267,651,392.25
5. Step 5: Solve for x
   x = 6,267,651,392.25/36,096.75
6. Step 6: Final answer
   x = 173,634.78