Finding the Third Proportional to 36,499.50 and 78,825

Step by Step Solution

1. Step 1: Write the proportion equation
   36,499.50 : 78,825 = 78,825 : x
2. Step 2: Convert to fraction form
   36,499.50/78,825 = 78,825/x
3. Step 3: Cross multiply
   36,499.50x = 78,825 × 78,825
4. Step 4: Simplify right side
   36,499.50x = 6,213,380,625
5. Step 5: Solve for x
   x = 6,213,380,625/36,499.50
6. Step 6: Final answer
   x = 170,231.94