Finding the Third Proportional to 43,510 and 67,830

Step by Step Solution

1. Step 1: Write the proportion equation
   43,510 : 67,830 = 67,830 : x
2. Step 2: Convert to fraction form
   43,510/67,830 = 67,830/x
3. Step 3: Cross multiply
   43,510x = 67,830 × 67,830
4. Step 4: Simplify right side
   43,510x = 4,600,908,900
5. Step 5: Solve for x
   x = 4,600,908,900/43,510
6. Step 6: Final answer
   x = 105,743.71