Finding the Third Proportional to 30,808 and 65,072

Step by Step Solution

1. Step 1: Write the proportion equation
   30,808 : 65,072 = 65,072 : x
2. Step 2: Convert to fraction form
   30,808/65,072 = 65,072/x
3. Step 3: Cross multiply
   30,808x = 65,072 × 65,072
4. Step 4: Simplify right side
   30,808x = 4,234,365,184
5. Step 5: Solve for x
   x = 4,234,365,184/30,808
6. Step 6: Final answer
   x = 137,443.69