Finding the Third Proportional to 37,433 and 81,096

Step by Step Solution

1. Step 1: Write the proportion equation
   37,433 : 81,096 = 81,096 : x
2. Step 2: Convert to fraction form
   37,433/81,096 = 81,096/x
3. Step 3: Cross multiply
   37,433x = 81,096 × 81,096
4. Step 4: Simplify right side
   37,433x = 6,576,561,216
5. Step 5: Solve for x
   x = 6,576,561,216/37,433
6. Step 6: Final answer
   x = 175,688.86