Finding the Third Proportional to 30,870 and 72,825

Step by Step Solution

1. Step 1: Write the proportion equation
   30,870 : 72,825 = 72,825 : x
2. Step 2: Convert to fraction form
   30,870/72,825 = 72,825/x
3. Step 3: Cross multiply
   30,870x = 72,825 × 72,825
4. Step 4: Simplify right side
   30,870x = 5,303,480,625
5. Step 5: Solve for x
   x = 5,303,480,625/30,870
6. Step 6: Final answer
   x = 171,800.47