Finding the Third Proportional to 37,176 and 81,123

Step by Step Solution

1. Step 1: Write the proportion equation
   37,176 : 81,123 = 81,123 : x
2. Step 2: Convert to fraction form
   37,176/81,123 = 81,123/x
3. Step 3: Cross multiply
   37,176x = 81,123 × 81,123
4. Step 4: Simplify right side
   37,176x = 6,580,941,129
5. Step 5: Solve for x
   x = 6,580,941,129/37,176
6. Step 6: Final answer
   x = 177,021.23