Finding the Third Proportional to 39,568.50 and 85,379.63

Step by Step Solution

1. Step 1: Write the proportion equation
   39,568.50 : 85,379.63 = 85,379.63 : x
2. Step 2: Convert to fraction form
   39,568.50/85,379.63 = 85,379.63/x
3. Step 3: Cross multiply
   39,568.50x = 85,379.63 × 85,379.63
4. Step 4: Simplify right side
   39,568.50x = 7,289,680,365.14
5. Step 5: Solve for x
   x = 7,289,680,365.14/39,568.50
6. Step 6: Final answer
   x = 184,229.38