Finding the Third Proportional to 34,500 and 53,436

Step by Step Solution

1. Step 1: Write the proportion equation
   34,500 : 53,436 = 53,436 : x
2. Step 2: Convert to fraction form
   34,500/53,436 = 53,436/x
3. Step 3: Cross multiply
   34,500x = 53,436 × 53,436
4. Step 4: Simplify right side
   34,500x = 2,855,406,096
5. Step 5: Solve for x
   x = 2,855,406,096/34,500
6. Step 6: Final answer
   x = 82,765.39