Finding the Third Proportional to 37,285 and 72,679

Step by Step Solution

1. Step 1: Write the proportion equation
   37,285 : 72,679 = 72,679 : x
2. Step 2: Convert to fraction form
   37,285/72,679 = 72,679/x
3. Step 3: Cross multiply
   37,285x = 72,679 × 72,679
4. Step 4: Simplify right side
   37,285x = 5,282,237,041
5. Step 5: Solve for x
   x = 5,282,237,041/37,285
6. Step 6: Final answer
   x = 141,671.91