Finding the Third Proportional to 30,520 and 64,982

Step by Step Solution

1. Step 1: Write the proportion equation
   30,520 : 64,982 = 64,982 : x
2. Step 2: Convert to fraction form
   30,520/64,982 = 64,982/x
3. Step 3: Cross multiply
   30,520x = 64,982 × 64,982
4. Step 4: Simplify right side
   30,520x = 4,222,660,324
5. Step 5: Solve for x
   x = 4,222,660,324/30,520
6. Step 6: Final answer
   x = 138,357.15