Finding the Third Proportional to 35,380 and 76,898

Step by Step Solution

1. Step 1: Write the proportion equation
   35,380 : 76,898 = 76,898 : x
2. Step 2: Convert to fraction form
   35,380/76,898 = 76,898/x
3. Step 3: Cross multiply
   35,380x = 76,898 × 76,898
4. Step 4: Simplify right side
   35,380x = 5,913,302,404
5. Step 5: Solve for x
   x = 5,913,302,404/35,380
6. Step 6: Final answer
   x = 167,136.87