Finding the Third Proportional to 63,821 and 101,745.50

Step by Step Solution

1. Step 1: Write the proportion equation
   63,821 : 101,745.50 = 101,745.50 : x
2. Step 2: Convert to fraction form
   63,821/101,745.50 = 101,745.50/x
3. Step 3: Cross multiply
   63,821x = 101,745.50 × 101,745.50
4. Step 4: Simplify right side
   63,821x = 10,352,146,770.25
5. Step 5: Solve for x
   x = 10,352,146,770.25/63,821
6. Step 6: Final answer
   x = 162,205.96