Finding the Third Proportional to 33,262 and 46,780

Step by Step Solution

1. Step 1: Write the proportion equation
   33,262 : 46,780 = 46,780 : x
2. Step 2: Convert to fraction form
   33,262/46,780 = 46,780/x
3. Step 3: Cross multiply
   33,262x = 46,780 × 46,780
4. Step 4: Simplify right side
   33,262x = 2,188,368,400
5. Step 5: Solve for x
   x = 2,188,368,400/33,262
6. Step 6: Final answer
   x = 65,791.85