Finding the Third Proportional to 31,455 and 46,290

Step by Step Solution

1. Step 1: Write the proportion equation
   31,455 : 46,290 = 46,290 : x
2. Step 2: Convert to fraction form
   31,455/46,290 = 46,290/x
3. Step 3: Cross multiply
   31,455x = 46,290 × 46,290
4. Step 4: Simplify right side
   31,455x = 2,142,764,100
5. Step 5: Solve for x
   x = 2,142,764,100/31,455
6. Step 6: Final answer
   x = 68,121.57