Finding the Third Proportional to 27,970 and 42,684

Step by Step Solution

1. Step 1: Write the proportion equation
   27,970 : 42,684 = 42,684 : x
2. Step 2: Convert to fraction form
   27,970/42,684 = 42,684/x
3. Step 3: Cross multiply
   27,970x = 42,684 × 42,684
4. Step 4: Simplify right side
   27,970x = 1,821,923,856
5. Step 5: Solve for x
   x = 1,821,923,856/27,970
6. Step 6: Final answer
   x = 65,138.50