Finding the Third Proportional to 34,589 and 75,780

Step by Step Solution

1. Step 1: Write the proportion equation
   34,589 : 75,780 = 75,780 : x
2. Step 2: Convert to fraction form
   34,589/75,780 = 75,780/x
3. Step 3: Cross multiply
   34,589x = 75,780 × 75,780
4. Step 4: Simplify right side
   34,589x = 5,742,608,400
5. Step 5: Solve for x
   x = 5,742,608,400/34,589
6. Step 6: Final answer
   x = 166,024.12