Finding the Third Proportional to 27,670 and 42,730

Step by Step Solution

1. Step 1: Write the proportion equation
   27,670 : 42,730 = 42,730 : x
2. Step 2: Convert to fraction form
   27,670/42,730 = 42,730/x
3. Step 3: Cross multiply
   27,670x = 42,730 × 42,730
4. Step 4: Simplify right side
   27,670x = 1,825,852,900
5. Step 5: Solve for x
   x = 1,825,852,900/27,670
6. Step 6: Final answer
   x = 65,986.73