Finding the Third Proportional to 37,380 and 81,640

Step by Step Solution

1. Step 1: Write the proportion equation
   37,380 : 81,640 = 81,640 : x
2. Step 2: Convert to fraction form
   37,380/81,640 = 81,640/x
3. Step 3: Cross multiply
   37,380x = 81,640 × 81,640
4. Step 4: Simplify right side
   37,380x = 6,665,089,600
5. Step 5: Solve for x
   x = 6,665,089,600/37,380
6. Step 6: Final answer
   x = 178,306.30