Finding the Third Proportional to 34,842 and 52,589.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,842 : 52,589.25 = 52,589.25 : x
2. Step 2: Convert to fraction form
   34,842/52,589.25 = 52,589.25/x
3. Step 3: Cross multiply
   34,842x = 52,589.25 × 52,589.25
4. Step 4: Simplify right side
   34,842x = 2,765,629,215.56
5. Step 5: Solve for x
   x = 2,765,629,215.56/34,842
6. Step 6: Final answer
   x = 79,376.30