Finding the Third Proportional to 30,969 and 49,216

Step by Step Solution

1. Step 1: Write the proportion equation
   30,969 : 49,216 = 49,216 : x
2. Step 2: Convert to fraction form
   30,969/49,216 = 49,216/x
3. Step 3: Cross multiply
   30,969x = 49,216 × 49,216
4. Step 4: Simplify right side
   30,969x = 2,422,214,656
5. Step 5: Solve for x
   x = 2,422,214,656/30,969
6. Step 6: Final answer
   x = 78,214.17