Finding the Third Proportional to 36,834 and 78,049

Step by Step Solution

1. Step 1: Write the proportion equation
   36,834 : 78,049 = 78,049 : x
2. Step 2: Convert to fraction form
   36,834/78,049 = 78,049/x
3. Step 3: Cross multiply
   36,834x = 78,049 × 78,049
4. Step 4: Simplify right side
   36,834x = 6,091,646,401
5. Step 5: Solve for x
   x = 6,091,646,401/36,834
6. Step 6: Final answer
   x = 165,381.07