Finding the Third Proportional to 30,598 and 64,872

Step by Step Solution

1. Step 1: Write the proportion equation
   30,598 : 64,872 = 64,872 : x
2. Step 2: Convert to fraction form
   30,598/64,872 = 64,872/x
3. Step 3: Cross multiply
   30,598x = 64,872 × 64,872
4. Step 4: Simplify right side
   30,598x = 4,208,376,384
5. Step 5: Solve for x
   x = 4,208,376,384/30,598
6. Step 6: Final answer
   x = 137,537.63