Finding the Third Proportional to 65,019 and 102,021.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,019 : 102,021.50 = 102,021.50 : x
2. Step 2: Convert to fraction form
   65,019/102,021.50 = 102,021.50/x
3. Step 3: Cross multiply
   65,019x = 102,021.50 × 102,021.50
4. Step 4: Simplify right side
   65,019x = 10,408,386,462.25
5. Step 5: Solve for x
   x = 10,408,386,462.25/65,019
6. Step 6: Final answer
   x = 160,082.23