Finding the Third Proportional to 27,680 and 42,979

Step by Step Solution

1. Step 1: Write the proportion equation
   27,680 : 42,979 = 42,979 : x
2. Step 2: Convert to fraction form
   27,680/42,979 = 42,979/x
3. Step 3: Cross multiply
   27,680x = 42,979 × 42,979
4. Step 4: Simplify right side
   27,680x = 1,847,194,441
5. Step 5: Solve for x
   x = 1,847,194,441/27,680
6. Step 6: Final answer
   x = 66,733.90