Finding the Third Proportional to 32,166 and 49,185

Step by Step Solution

1. Step 1: Write the proportion equation
   32,166 : 49,185 = 49,185 : x
2. Step 2: Convert to fraction form
   32,166/49,185 = 49,185/x
3. Step 3: Cross multiply
   32,166x = 49,185 × 49,185
4. Step 4: Simplify right side
   32,166x = 2,419,164,225
5. Step 5: Solve for x
   x = 2,419,164,225/32,166
6. Step 6: Final answer
   x = 75,208.74