Finding the Third Proportional to 31,040 and 46,578

Step by Step Solution

1. Step 1: Write the proportion equation
   31,040 : 46,578 = 46,578 : x
2. Step 2: Convert to fraction form
   31,040/46,578 = 46,578/x
3. Step 3: Cross multiply
   31,040x = 46,578 × 46,578
4. Step 4: Simplify right side
   31,040x = 2,169,510,084
5. Step 5: Solve for x
   x = 2,169,510,084/31,040
6. Step 6: Final answer
   x = 69,894.01