Finding the Third Proportional to 37,607.34 and 82,596.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,607.34 : 82,596.38 = 82,596.38 : x
2. Step 2: Convert to fraction form
   37,607.34/82,596.38 = 82,596.38/x
3. Step 3: Cross multiply
   37,607.34x = 82,596.38 × 82,596.38
4. Step 4: Simplify right side
   37,607.34x = 6,822,161,163.14
5. Step 5: Solve for x
   x = 6,822,161,163.14/37,607.34
6. Step 6: Final answer
   x = 181,405.03