Finding the Third Proportional to 42,584.50 and 89,579

Step by Step Solution

1. Step 1: Write the proportion equation
   42,584.50 : 89,579 = 89,579 : x
2. Step 2: Convert to fraction form
   42,584.50/89,579 = 89,579/x
3. Step 3: Cross multiply
   42,584.50x = 89,579 × 89,579
4. Step 4: Simplify right side
   42,584.50x = 8,024,397,241
5. Step 5: Solve for x
   x = 8,024,397,241/42,584.50
6. Step 6: Final answer
   x = 188,434.69