Finding the Third Proportional to 36,009.50 and 78,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,009.50 : 78,519.50 = 78,519.50 : x
2. Step 2: Convert to fraction form
   36,009.50/78,519.50 = 78,519.50/x
3. Step 3: Cross multiply
   36,009.50x = 78,519.50 × 78,519.50
4. Step 4: Simplify right side
   36,009.50x = 6,165,311,880.25
5. Step 5: Solve for x
   x = 6,165,311,880.25/36,009.50
6. Step 6: Final answer
   x = 171,213.48