Finding the Third Proportional to 38,034 and 78,492

Step by Step Solution

1. Step 1: Write the proportion equation
   38,034 : 78,492 = 78,492 : x
2. Step 2: Convert to fraction form
   38,034/78,492 = 78,492/x
3. Step 3: Cross multiply
   38,034x = 78,492 × 78,492
4. Step 4: Simplify right side
   38,034x = 6,160,994,064
5. Step 5: Solve for x
   x = 6,160,994,064/38,034
6. Step 6: Final answer
   x = 161,986.49