Finding the Third Proportional to 37,404 and 81,846

Step by Step Solution

1. Step 1: Write the proportion equation
   37,404 : 81,846 = 81,846 : x
2. Step 2: Convert to fraction form
   37,404/81,846 = 81,846/x
3. Step 3: Cross multiply
   37,404x = 81,846 × 81,846
4. Step 4: Simplify right side
   37,404x = 6,698,767,716
5. Step 5: Solve for x
   x = 6,698,767,716/37,404
6. Step 6: Final answer
   x = 179,092.28