Finding the Third Proportional to 33,094 and 51,185

Step by Step Solution

1. Step 1: Write the proportion equation
   33,094 : 51,185 = 51,185 : x
2. Step 2: Convert to fraction form
   33,094/51,185 = 51,185/x
3. Step 3: Cross multiply
   33,094x = 51,185 × 51,185
4. Step 4: Simplify right side
   33,094x = 2,619,904,225
5. Step 5: Solve for x
   x = 2,619,904,225/33,094
6. Step 6: Final answer
   x = 79,165.54