Finding the Third Proportional to 32,182 and 51,185

Step by Step Solution

1. Step 1: Write the proportion equation
   32,182 : 51,185 = 51,185 : x
2. Step 2: Convert to fraction form
   32,182/51,185 = 51,185/x
3. Step 3: Cross multiply
   32,182x = 51,185 × 51,185
4. Step 4: Simplify right side
   32,182x = 2,619,904,225
5. Step 5: Solve for x
   x = 2,619,904,225/32,182
6. Step 6: Final answer
   x = 81,408.99