Finding the Third Proportional to 37,472 and 80,274

Step by Step Solution

1. Step 1: Write the proportion equation
   37,472 : 80,274 = 80,274 : x
2. Step 2: Convert to fraction form
   37,472/80,274 = 80,274/x
3. Step 3: Cross multiply
   37,472x = 80,274 × 80,274
4. Step 4: Simplify right side
   37,472x = 6,443,915,076
5. Step 5: Solve for x
   x = 6,443,915,076/37,472
6. Step 6: Final answer
   x = 171,966.14