Finding the Third Proportional to 34,606 and 53,466

Step by Step Solution

1. Step 1: Write the proportion equation
   34,606 : 53,466 = 53,466 : x
2. Step 2: Convert to fraction form
   34,606/53,466 = 53,466/x
3. Step 3: Cross multiply
   34,606x = 53,466 × 53,466
4. Step 4: Simplify right side
   34,606x = 2,858,613,156
5. Step 5: Solve for x
   x = 2,858,613,156/34,606
6. Step 6: Final answer
   x = 82,604.55