Finding the Third Proportional to 34,190 and 73,492

Step by Step Solution

1. Step 1: Write the proportion equation
   34,190 : 73,492 = 73,492 : x
2. Step 2: Convert to fraction form
   34,190/73,492 = 73,492/x
3. Step 3: Cross multiply
   34,190x = 73,492 × 73,492
4. Step 4: Simplify right side
   34,190x = 5,401,074,064
5. Step 5: Solve for x
   x = 5,401,074,064/34,190
6. Step 6: Final answer
   x = 157,972.33