Finding the Third Proportional to 30,597 and 64,871

Step by Step Solution

1. Step 1: Write the proportion equation
   30,597 : 64,871 = 64,871 : x
2. Step 2: Convert to fraction form
   30,597/64,871 = 64,871/x
3. Step 3: Cross multiply
   30,597x = 64,871 × 64,871
4. Step 4: Simplify right side
   30,597x = 4,208,246,641
5. Step 5: Solve for x
   x = 4,208,246,641/30,597
6. Step 6: Final answer
   x = 137,537.88