Finding the Third Proportional to 37,184 and 81,738

Step by Step Solution

1. Step 1: Write the proportion equation
   37,184 : 81,738 = 81,738 : x
2. Step 2: Convert to fraction form
   37,184/81,738 = 81,738/x
3. Step 3: Cross multiply
   37,184x = 81,738 × 81,738
4. Step 4: Simplify right side
   37,184x = 6,681,100,644
5. Step 5: Solve for x
   x = 6,681,100,644/37,184
6. Step 6: Final answer
   x = 179,676.76