Finding the Third Proportional to 37,152 and 80,960

Step by Step Solution

1. Step 1: Write the proportion equation
   37,152 : 80,960 = 80,960 : x
2. Step 2: Convert to fraction form
   37,152/80,960 = 80,960/x
3. Step 3: Cross multiply
   37,152x = 80,960 × 80,960
4. Step 4: Simplify right side
   37,152x = 6,554,521,600
5. Step 5: Solve for x
   x = 6,554,521,600/37,152
6. Step 6: Final answer
   x = 176,424.46