Finding the Third Proportional to 33,410 and 46,996

Step by Step Solution

1. Step 1: Write the proportion equation
   33,410 : 46,996 = 46,996 : x
2. Step 2: Convert to fraction form
   33,410/46,996 = 46,996/x
3. Step 3: Cross multiply
   33,410x = 46,996 × 46,996
4. Step 4: Simplify right side
   33,410x = 2,208,624,016
5. Step 5: Solve for x
   x = 2,208,624,016/33,410
6. Step 6: Final answer
   x = 66,106.68