Finding the Third Proportional to 33,670 and 50,297

Step by Step Solution

1. Step 1: Write the proportion equation
   33,670 : 50,297 = 50,297 : x
2. Step 2: Convert to fraction form
   33,670/50,297 = 50,297/x
3. Step 3: Cross multiply
   33,670x = 50,297 × 50,297
4. Step 4: Simplify right side
   33,670x = 2,529,788,209
5. Step 5: Solve for x
   x = 2,529,788,209/33,670
6. Step 6: Final answer
   x = 75,134.78