Finding the Third Proportional to 31,544 and 46,476

Step by Step Solution

1. Step 1: Write the proportion equation
   31,544 : 46,476 = 46,476 : x
2. Step 2: Convert to fraction form
   31,544/46,476 = 46,476/x
3. Step 3: Cross multiply
   31,544x = 46,476 × 46,476
4. Step 4: Simplify right side
   31,544x = 2,160,018,576
5. Step 5: Solve for x
   x = 2,160,018,576/31,544
6. Step 6: Final answer
   x = 68,476.37