Finding the Third Proportional to 37,649.81 and 81,855.56

Step by Step Solution

1. Step 1: Write the proportion equation
   37,649.81 : 81,855.56 = 81,855.56 : x
2. Step 2: Convert to fraction form
   37,649.81/81,855.56 = 81,855.56/x
3. Step 3: Cross multiply
   37,649.81x = 81,855.56 × 81,855.56
4. Step 4: Simplify right side
   37,649.81x = 6,700,333,112.19
5. Step 5: Solve for x
   x = 6,700,333,112.19/37,649.81
6. Step 6: Final answer
   x = 177,964.58