Finding the Third Proportional to 37,082.81 and 81,222.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,082.81 : 81,222.75 = 81,222.75 : x
2. Step 2: Convert to fraction form
   37,082.81/81,222.75 = 81,222.75/x
3. Step 3: Cross multiply
   37,082.81x = 81,222.75 × 81,222.75
4. Step 4: Simplify right side
   37,082.81x = 6,597,135,117.56
5. Step 5: Solve for x
   x = 6,597,135,117.56/37,082.81
6. Step 6: Final answer
   x = 177,902.77