Finding the Third Proportional to 31,656 and 46,996

Step by Step Solution

1. Step 1: Write the proportion equation
   31,656 : 46,996 = 46,996 : x
2. Step 2: Convert to fraction form
   31,656/46,996 = 46,996/x
3. Step 3: Cross multiply
   31,656x = 46,996 × 46,996
4. Step 4: Simplify right side
   31,656x = 2,208,624,016
5. Step 5: Solve for x
   x = 2,208,624,016/31,656
6. Step 6: Final answer
   x = 69,769.52