Finding the Third Proportional to 65,816.50 and 101,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,816.50 : 101,185.50 = 101,185.50 : x
2. Step 2: Convert to fraction form
   65,816.50/101,185.50 = 101,185.50/x
3. Step 3: Cross multiply
   65,816.50x = 101,185.50 × 101,185.50
4. Step 4: Simplify right side
   65,816.50x = 10,238,505,410.25
5. Step 5: Solve for x
   x = 10,238,505,410.25/65,816.50
6. Step 6: Final answer
   x = 155,561.38