Finding the Third Proportional to 37,470 and 80,442

Step by Step Solution

1. Step 1: Write the proportion equation
   37,470 : 80,442 = 80,442 : x
2. Step 2: Convert to fraction form
   37,470/80,442 = 80,442/x
3. Step 3: Cross multiply
   37,470x = 80,442 × 80,442
4. Step 4: Simplify right side
   37,470x = 6,470,915,364
5. Step 5: Solve for x
   x = 6,470,915,364/37,470
6. Step 6: Final answer
   x = 172,695.90