Finding the Third Proportional to 37,642 and 89,176

Step by Step Solution

1. Step 1: Write the proportion equation
   37,642 : 89,176 = 89,176 : x
2. Step 2: Convert to fraction form
   37,642/89,176 = 89,176/x
3. Step 3: Cross multiply
   37,642x = 89,176 × 89,176
4. Step 4: Simplify right side
   37,642x = 7,952,358,976
5. Step 5: Solve for x
   x = 7,952,358,976/37,642
6. Step 6: Final answer
   x = 211,262.92