Finding the Third Proportional to 42,405 and 57,589

Step by Step Solution

1. Step 1: Write the proportion equation
   42,405 : 57,589 = 57,589 : x
2. Step 2: Convert to fraction form
   42,405/57,589 = 57,589/x
3. Step 3: Cross multiply
   42,405x = 57,589 × 57,589
4. Step 4: Simplify right side
   42,405x = 3,316,492,921
5. Step 5: Solve for x
   x = 3,316,492,921/42,405
6. Step 6: Final answer
   x = 78,209.95