Finding the Third Proportional to 33,877 and 47,662

Step by Step Solution

1. Step 1: Write the proportion equation
   33,877 : 47,662 = 47,662 : x
2. Step 2: Convert to fraction form
   33,877/47,662 = 47,662/x
3. Step 3: Cross multiply
   33,877x = 47,662 × 47,662
4. Step 4: Simplify right side
   33,877x = 2,271,666,244
5. Step 5: Solve for x
   x = 2,271,666,244/33,877
6. Step 6: Final answer
   x = 67,056.30