Finding the Third Proportional to 42,997 and 65,145

Step by Step Solution

1. Step 1: Write the proportion equation
   42,997 : 65,145 = 65,145 : x
2. Step 2: Convert to fraction form
   42,997/65,145 = 65,145/x
3. Step 3: Cross multiply
   42,997x = 65,145 × 65,145
4. Step 4: Simplify right side
   42,997x = 4,243,871,025
5. Step 5: Solve for x
   x = 4,243,871,025/42,997
6. Step 6: Final answer
   x = 98,701.56