Finding the Third Proportional to 37,746 and 89,175

Step by Step Solution

1. Step 1: Write the proportion equation
   37,746 : 89,175 = 89,175 : x
2. Step 2: Convert to fraction form
   37,746/89,175 = 89,175/x
3. Step 3: Cross multiply
   37,746x = 89,175 × 89,175
4. Step 4: Simplify right side
   37,746x = 7,952,180,625
5. Step 5: Solve for x
   x = 7,952,180,625/37,746
6. Step 6: Final answer
   x = 210,676.11