Finding the Third Proportional to 42,859 and 65,745

Step by Step Solution

1. Step 1: Write the proportion equation
   42,859 : 65,745 = 65,745 : x
2. Step 2: Convert to fraction form
   42,859/65,745 = 65,745/x
3. Step 3: Cross multiply
   42,859x = 65,745 × 65,745
4. Step 4: Simplify right side
   42,859x = 4,322,405,025
5. Step 5: Solve for x
   x = 4,322,405,025/42,859
6. Step 6: Final answer
   x = 100,851.75