Finding the Third Proportional to 65,698.50 and 101,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,698.50 : 101,464.50 = 101,464.50 : x
2. Step 2: Convert to fraction form
   65,698.50/101,464.50 = 101,464.50/x
3. Step 3: Cross multiply
   65,698.50x = 101,464.50 × 101,464.50
4. Step 4: Simplify right side
   65,698.50x = 10,295,044,760.25
5. Step 5: Solve for x
   x = 10,295,044,760.25/65,698.50
6. Step 6: Final answer
   x = 156,701.37