Finding the Third Proportional to 29,920 and 46,300

Step by Step Solution

1. Step 1: Write the proportion equation
   29,920 : 46,300 = 46,300 : x
2. Step 2: Convert to fraction form
   29,920/46,300 = 46,300/x
3. Step 3: Cross multiply
   29,920x = 46,300 × 46,300
4. Step 4: Simplify right side
   29,920x = 2,143,690,000
5. Step 5: Solve for x
   x = 2,143,690,000/29,920
6. Step 6: Final answer
   x = 71,647.39