Finding the Third Proportional to 35,705 and 77,380

Step by Step Solution

1. Step 1: Write the proportion equation
   35,705 : 77,380 = 77,380 : x
2. Step 2: Convert to fraction form
   35,705/77,380 = 77,380/x
3. Step 3: Cross multiply
   35,705x = 77,380 × 77,380
4. Step 4: Simplify right side
   35,705x = 5,987,664,400
5. Step 5: Solve for x
   x = 5,987,664,400/35,705
6. Step 6: Final answer
   x = 167,698.20