Finding the Third Proportional to 37,380 and 80,244

Step by Step Solution

1. Step 1: Write the proportion equation
   37,380 : 80,244 = 80,244 : x
2. Step 2: Convert to fraction form
   37,380/80,244 = 80,244/x
3. Step 3: Cross multiply
   37,380x = 80,244 × 80,244
4. Step 4: Simplify right side
   37,380x = 6,439,099,536
5. Step 5: Solve for x
   x = 6,439,099,536/37,380
6. Step 6: Final answer
   x = 172,260.55