Finding the Third Proportional to 37,404 and 81,960.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,404 : 81,960.75 = 81,960.75 : x
2. Step 2: Convert to fraction form
   37,404/81,960.75 = 81,960.75/x
3. Step 3: Cross multiply
   37,404x = 81,960.75 × 81,960.75
4. Step 4: Simplify right side
   37,404x = 6,717,564,540.56
5. Step 5: Solve for x
   x = 6,717,564,540.56/37,404
6. Step 6: Final answer
   x = 179,594.82