Finding the Third Proportional to 31,364 and 46,040

Step by Step Solution

1. Step 1: Write the proportion equation
   31,364 : 46,040 = 46,040 : x
2. Step 2: Convert to fraction form
   31,364/46,040 = 46,040/x
3. Step 3: Cross multiply
   31,364x = 46,040 × 46,040
4. Step 4: Simplify right side
   31,364x = 2,119,681,600
5. Step 5: Solve for x
   x = 2,119,681,600/31,364
6. Step 6: Final answer
   x = 67,583.27