Finding the Third Proportional to 67,830 and 103,762

Step by Step Solution

1. Step 1: Write the proportion equation
   67,830 : 103,762 = 103,762 : x
2. Step 2: Convert to fraction form
   67,830/103,762 = 103,762/x
3. Step 3: Cross multiply
   67,830x = 103,762 × 103,762
4. Step 4: Simplify right side
   67,830x = 10,766,552,644
5. Step 5: Solve for x
   x = 10,766,552,644/67,830
6. Step 6: Final answer
   x = 158,728.48