Finding the Third Proportional to 37,960 and 83,072

Step by Step Solution

1. Step 1: Write the proportion equation
   37,960 : 83,072 = 83,072 : x
2. Step 2: Convert to fraction form
   37,960/83,072 = 83,072/x
3. Step 3: Cross multiply
   37,960x = 83,072 × 83,072
4. Step 4: Simplify right side
   37,960x = 6,900,957,184
5. Step 5: Solve for x
   x = 6,900,957,184/37,960
6. Step 6: Final answer
   x = 181,795.50