Finding the Third Proportional to 36,960 and 78,530

Step by Step Solution

1. Step 1: Write the proportion equation
   36,960 : 78,530 = 78,530 : x
2. Step 2: Convert to fraction form
   36,960/78,530 = 78,530/x
3. Step 3: Cross multiply
   36,960x = 78,530 × 78,530
4. Step 4: Simplify right side
   36,960x = 6,166,960,900
5. Step 5: Solve for x
   x = 6,166,960,900/36,960
6. Step 6: Final answer
   x = 166,855.00