Finding the Third Proportional to 35,734 and 78,380

Step by Step Solution

1. Step 1: Write the proportion equation
   35,734 : 78,380 = 78,380 : x
2. Step 2: Convert to fraction form
   35,734/78,380 = 78,380/x
3. Step 3: Cross multiply
   35,734x = 78,380 × 78,380
4. Step 4: Simplify right side
   35,734x = 6,143,424,400
5. Step 5: Solve for x
   x = 6,143,424,400/35,734
6. Step 6: Final answer
   x = 171,920.98