Finding the Third Proportional to 54,823.50 and 82,019.25

Step by Step Solution

1. Step 1: Write the proportion equation
   54,823.50 : 82,019.25 = 82,019.25 : x
2. Step 2: Convert to fraction form
   54,823.50/82,019.25 = 82,019.25/x
3. Step 3: Cross multiply
   54,823.50x = 82,019.25 × 82,019.25
4. Step 4: Simplify right side
   54,823.50x = 6,727,157,370.56
5. Step 5: Solve for x
   x = 6,727,157,370.56/54,823.50
6. Step 6: Final answer
   x = 122,705.73