Finding the Third Proportional to 30,720 and 46,404

Step by Step Solution

1. Step 1: Write the proportion equation
   30,720 : 46,404 = 46,404 : x
2. Step 2: Convert to fraction form
   30,720/46,404 = 46,404/x
3. Step 3: Cross multiply
   30,720x = 46,404 × 46,404
4. Step 4: Simplify right side
   30,720x = 2,153,331,216
5. Step 5: Solve for x
   x = 2,153,331,216/30,720
6. Step 6: Final answer
   x = 70,095.42