Finding the Third Proportional to 30,641 and 64,374

Step by Step Solution

1. Step 1: Write the proportion equation
   30,641 : 64,374 = 64,374 : x
2. Step 2: Convert to fraction form
   30,641/64,374 = 64,374/x
3. Step 3: Cross multiply
   30,641x = 64,374 × 64,374
4. Step 4: Simplify right side
   30,641x = 4,144,011,876
5. Step 5: Solve for x
   x = 4,144,011,876/30,641
6. Step 6: Final answer
   x = 135,244.02