Finding the Third Proportional to 27,719 and 42,604

Step by Step Solution

1. Step 1: Write the proportion equation
   27,719 : 42,604 = 42,604 : x
2. Step 2: Convert to fraction form
   27,719/42,604 = 42,604/x
3. Step 3: Cross multiply
   27,719x = 42,604 × 42,604
4. Step 4: Simplify right side
   27,719x = 1,815,100,816
5. Step 5: Solve for x
   x = 1,815,100,816/27,719
6. Step 6: Final answer
   x = 65,482.19