Finding the Third Proportional to 30,138 and 65,634

Step by Step Solution

1. Step 1: Write the proportion equation
   30,138 : 65,634 = 65,634 : x
2. Step 2: Convert to fraction form
   30,138/65,634 = 65,634/x
3. Step 3: Cross multiply
   30,138x = 65,634 × 65,634
4. Step 4: Simplify right side
   30,138x = 4,307,821,956
5. Step 5: Solve for x
   x = 4,307,821,956/30,138
6. Step 6: Final answer
   x = 142,936.56