Finding the Third Proportional to 37,960 and 80,848

Step by Step Solution

1. Step 1: Write the proportion equation
   37,960 : 80,848 = 80,848 : x
2. Step 2: Convert to fraction form
   37,960/80,848 = 80,848/x
3. Step 3: Cross multiply
   37,960x = 80,848 × 80,848
4. Step 4: Simplify right side
   37,960x = 6,536,399,104
5. Step 5: Solve for x
   x = 6,536,399,104/37,960
6. Step 6: Final answer
   x = 172,191.76