Finding the Third Proportional to 31,284 and 46,054

Step by Step Solution

1. Step 1: Write the proportion equation
   31,284 : 46,054 = 46,054 : x
2. Step 2: Convert to fraction form
   31,284/46,054 = 46,054/x
3. Step 3: Cross multiply
   31,284x = 46,054 × 46,054
4. Step 4: Simplify right side
   31,284x = 2,120,970,916
5. Step 5: Solve for x
   x = 2,120,970,916/31,284
6. Step 6: Final answer
   x = 67,797.31