Finding the Third Proportional to 38,245.75 and 82,847.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,245.75 : 82,847.25 = 82,847.25 : x
2. Step 2: Convert to fraction form
   38,245.75/82,847.25 = 82,847.25/x
3. Step 3: Cross multiply
   38,245.75x = 82,847.25 × 82,847.25
4. Step 4: Simplify right side
   38,245.75x = 6,863,666,832.56
5. Step 5: Solve for x
   x = 6,863,666,832.56/38,245.75
6. Step 6: Final answer
   x = 179,462.21