Finding the Third Proportional to 42,857 and 65,374

Step by Step Solution

1. Step 1: Write the proportion equation
   42,857 : 65,374 = 65,374 : x
2. Step 2: Convert to fraction form
   42,857/65,374 = 65,374/x
3. Step 3: Cross multiply
   42,857x = 65,374 × 65,374
4. Step 4: Simplify right side
   42,857x = 4,273,759,876
5. Step 5: Solve for x
   x = 4,273,759,876/42,857
6. Step 6: Final answer
   x = 99,721.40