Finding the Third Proportional to 27,140 and 42,540

Step by Step Solution

1. Step 1: Write the proportion equation
   27,140 : 42,540 = 42,540 : x
2. Step 2: Convert to fraction form
   27,140/42,540 = 42,540/x
3. Step 3: Cross multiply
   27,140x = 42,540 × 42,540
4. Step 4: Simplify right side
   27,140x = 1,809,651,600
5. Step 5: Solve for x
   x = 1,809,651,600/27,140
6. Step 6: Final answer
   x = 66,678.39