Finding the Third Proportional to 36,602 and 79,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,602 : 79,896.50 = 79,896.50 : x
2. Step 2: Convert to fraction form
   36,602/79,896.50 = 79,896.50/x
3. Step 3: Cross multiply
   36,602x = 79,896.50 × 79,896.50
4. Step 4: Simplify right side
   36,602x = 6,383,450,712.25
5. Step 5: Solve for x
   x = 6,383,450,712.25/36,602
6. Step 6: Final answer
   x = 174,401.69