Finding the Third Proportional to 36,065.50 and 78,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,065.50 : 78,768.50 = 78,768.50 : x
2. Step 2: Convert to fraction form
   36,065.50/78,768.50 = 78,768.50/x
3. Step 3: Cross multiply
   36,065.50x = 78,768.50 × 78,768.50
4. Step 4: Simplify right side
   36,065.50x = 6,204,476,592.25
5. Step 5: Solve for x
   x = 6,204,476,592.25/36,065.50
6. Step 6: Final answer
   x = 172,033.57