Finding the Third Proportional to 65,638 and 101,015

Step by Step Solution

1. Step 1: Write the proportion equation
   65,638 : 101,015 = 101,015 : x
2. Step 2: Convert to fraction form
   65,638/101,015 = 101,015/x
3. Step 3: Cross multiply
   65,638x = 101,015 × 101,015
4. Step 4: Simplify right side
   65,638x = 10,204,030,225
5. Step 5: Solve for x
   x = 10,204,030,225/65,638
6. Step 6: Final answer
   x = 155,459.19