Finding the Third Proportional to 37,530.56 and 81,621.56

Step by Step Solution

1. Step 1: Write the proportion equation
   37,530.56 : 81,621.56 = 81,621.56 : x
2. Step 2: Convert to fraction form
   37,530.56/81,621.56 = 81,621.56/x
3. Step 3: Cross multiply
   37,530.56x = 81,621.56 × 81,621.56
4. Step 4: Simplify right side
   37,530.56x = 6,662,079,464.94
5. Step 5: Solve for x
   x = 6,662,079,464.94/37,530.56
6. Step 6: Final answer
   x = 177,510.78