Finding the Third Proportional to 31,760 and 46,692

Step by Step Solution

1. Step 1: Write the proportion equation
   31,760 : 46,692 = 46,692 : x
2. Step 2: Convert to fraction form
   31,760/46,692 = 46,692/x
3. Step 3: Cross multiply
   31,760x = 46,692 × 46,692
4. Step 4: Simplify right side
   31,760x = 2,180,142,864
5. Step 5: Solve for x
   x = 2,180,142,864/31,760
6. Step 6: Final answer
   x = 68,644.30