Finding the Third Proportional to 34,646 and 55,797

Step by Step Solution

1. Step 1: Write the proportion equation
   34,646 : 55,797 = 55,797 : x
2. Step 2: Convert to fraction form
   34,646/55,797 = 55,797/x
3. Step 3: Cross multiply
   34,646x = 55,797 × 55,797
4. Step 4: Simplify right side
   34,646x = 3,113,305,209
5. Step 5: Solve for x
   x = 3,113,305,209/34,646
6. Step 6: Final answer
   x = 89,860.45