Finding the Third Proportional to 36,524.50 and 78,597.25

Step by Step Solution

1. Step 1: Write the proportion equation
   36,524.50 : 78,597.25 = 78,597.25 : x
2. Step 2: Convert to fraction form
   36,524.50/78,597.25 = 78,597.25/x
3. Step 3: Cross multiply
   36,524.50x = 78,597.25 × 78,597.25
4. Step 4: Simplify right side
   36,524.50x = 6,177,527,707.56
5. Step 5: Solve for x
   x = 6,177,527,707.56/36,524.50
6. Step 6: Final answer
   x = 169,133.81