Finding the Third Proportional to 31,684 and 46,374

Step by Step Solution

1. Step 1: Write the proportion equation
   31,684 : 46,374 = 46,374 : x
2. Step 2: Convert to fraction form
   31,684/46,374 = 46,374/x
3. Step 3: Cross multiply
   31,684x = 46,374 × 46,374
4. Step 4: Simplify right side
   31,684x = 2,150,547,876
5. Step 5: Solve for x
   x = 2,150,547,876/31,684
6. Step 6: Final answer
   x = 67,874.89