Finding the Third Proportional to 30,597 and 64,839

Step by Step Solution

1. Step 1: Write the proportion equation
   30,597 : 64,839 = 64,839 : x
2. Step 2: Convert to fraction form
   30,597/64,839 = 64,839/x
3. Step 3: Cross multiply
   30,597x = 64,839 × 64,839
4. Step 4: Simplify right side
   30,597x = 4,204,095,921
5. Step 5: Solve for x
   x = 4,204,095,921/30,597
6. Step 6: Final answer
   x = 137,402.23