Finding the Third Proportional to 27,290 and 42,281

Step by Step Solution

1. Step 1: Write the proportion equation
   27,290 : 42,281 = 42,281 : x
2. Step 2: Convert to fraction form
   27,290/42,281 = 42,281/x
3. Step 3: Cross multiply
   27,290x = 42,281 × 42,281
4. Step 4: Simplify right side
   27,290x = 1,787,682,961
5. Step 5: Solve for x
   x = 1,787,682,961/27,290
6. Step 6: Final answer
   x = 65,506.89