Finding the Third Proportional to 65,665.69 and 102,601.69

Step by Step Solution

1. Step 1: Write the proportion equation
   65,665.69 : 102,601.69 = 102,601.69 : x
2. Step 2: Convert to fraction form
   65,665.69/102,601.69 = 102,601.69/x
3. Step 3: Cross multiply
   65,665.69x = 102,601.69 × 102,601.69
4. Step 4: Simplify right side
   65,665.69x = 10,527,106,277.85
5. Step 5: Solve for x
   x = 10,527,106,277.85/65,665.69
6. Step 6: Final answer
   x = 160,313.65