Finding the Third Proportional to 36,391.50 and 78,529.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,391.50 : 78,529.50 = 78,529.50 : x
2. Step 2: Convert to fraction form
   36,391.50/78,529.50 = 78,529.50/x
3. Step 3: Cross multiply
   36,391.50x = 78,529.50 × 78,529.50
4. Step 4: Simplify right side
   36,391.50x = 6,166,882,370.25
5. Step 5: Solve for x
   x = 6,166,882,370.25/36,391.50
6. Step 6: Final answer
   x = 169,459.42