Finding the Third Proportional to 31,204 and 46,672

Step by Step Solution

1. Step 1: Write the proportion equation
   31,204 : 46,672 = 46,672 : x
2. Step 2: Convert to fraction form
   31,204/46,672 = 46,672/x
3. Step 3: Cross multiply
   31,204x = 46,672 × 46,672
4. Step 4: Simplify right side
   31,204x = 2,178,275,584
5. Step 5: Solve for x
   x = 2,178,275,584/31,204
6. Step 6: Final answer
   x = 69,807.58