Finding the Third Proportional to 36,016.50 and 78,594.25

Step by Step Solution

1. Step 1: Write the proportion equation
   36,016.50 : 78,594.25 = 78,594.25 : x
2. Step 2: Convert to fraction form
   36,016.50/78,594.25 = 78,594.25/x
3. Step 3: Cross multiply
   36,016.50x = 78,594.25 × 78,594.25
4. Step 4: Simplify right side
   36,016.50x = 6,177,056,133.06
5. Step 5: Solve for x
   x = 6,177,056,133.06/36,016.50
6. Step 6: Final answer
   x = 171,506.29