Finding the Third Proportional to 34,584 and 52,892

Step by Step Solution

1. Step 1: Write the proportion equation
   34,584 : 52,892 = 52,892 : x
2. Step 2: Convert to fraction form
   34,584/52,892 = 52,892/x
3. Step 3: Cross multiply
   34,584x = 52,892 × 52,892
4. Step 4: Simplify right side
   34,584x = 2,797,563,664
5. Step 5: Solve for x
   x = 2,797,563,664/34,584
6. Step 6: Final answer
   x = 80,891.85