Finding the Third Proportional to 36,819 and 78,564

Step by Step Solution

1. Step 1: Write the proportion equation
   36,819 : 78,564 = 78,564 : x
2. Step 2: Convert to fraction form
   36,819/78,564 = 78,564/x
3. Step 3: Cross multiply
   36,819x = 78,564 × 78,564
4. Step 4: Simplify right side
   36,819x = 6,172,302,096
5. Step 5: Solve for x
   x = 6,172,302,096/36,819
6. Step 6: Final answer
   x = 167,639.05