Finding the Third Proportional to 30,825 and 46,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,825 : 46,462.50 = 46,462.50 : x
2. Step 2: Convert to fraction form
   30,825/46,462.50 = 46,462.50/x
3. Step 3: Cross multiply
   30,825x = 46,462.50 × 46,462.50
4. Step 4: Simplify right side
   30,825x = 2,158,763,906.25
5. Step 5: Solve for x
   x = 2,158,763,906.25/30,825
6. Step 6: Final answer
   x = 70,032.89