Finding the Third Proportional to 30,768 and 65,202

Step by Step Solution

1. Step 1: Write the proportion equation
   30,768 : 65,202 = 65,202 : x
2. Step 2: Convert to fraction form
   30,768/65,202 = 65,202/x
3. Step 3: Cross multiply
   30,768x = 65,202 × 65,202
4. Step 4: Simplify right side
   30,768x = 4,251,300,804
5. Step 5: Solve for x
   x = 4,251,300,804/30,768
6. Step 6: Final answer
   x = 138,172.80