Finding the Third Proportional to 30,767.50 and 72,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,767.50 : 72,589.50 = 72,589.50 : x
2. Step 2: Convert to fraction form
   30,767.50/72,589.50 = 72,589.50/x
3. Step 3: Cross multiply
   30,767.50x = 72,589.50 × 72,589.50
4. Step 4: Simplify right side
   30,767.50x = 5,269,235,510.25
5. Step 5: Solve for x
   x = 5,269,235,510.25/30,767.50
6. Step 6: Final answer
   x = 171,259.79