Finding the Third Proportional to 36,150.50 and 78,335.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,150.50 : 78,335.50 = 78,335.50 : x
2. Step 2: Convert to fraction form
   36,150.50/78,335.50 = 78,335.50/x
3. Step 3: Cross multiply
   36,150.50x = 78,335.50 × 78,335.50
4. Step 4: Simplify right side
   36,150.50x = 6,136,450,560.25
5. Step 5: Solve for x
   x = 6,136,450,560.25/36,150.50
6. Step 6: Final answer
   x = 169,747.32