Finding the Third Proportional to 34,166 and 73,492

Step by Step Solution

1. Step 1: Write the proportion equation
   34,166 : 73,492 = 73,492 : x
2. Step 2: Convert to fraction form
   34,166/73,492 = 73,492/x
3. Step 3: Cross multiply
   34,166x = 73,492 × 73,492
4. Step 4: Simplify right side
   34,166x = 5,401,074,064
5. Step 5: Solve for x
   x = 5,401,074,064/34,166
6. Step 6: Final answer
   x = 158,083.30