Finding the Third Proportional to 27,680 and 59,678

Step by Step Solution

1. Step 1: Write the proportion equation
   27,680 : 59,678 = 59,678 : x
2. Step 2: Convert to fraction form
   27,680/59,678 = 59,678/x
3. Step 3: Cross multiply
   27,680x = 59,678 × 59,678
4. Step 4: Simplify right side
   27,680x = 3,561,463,684
5. Step 5: Solve for x
   x = 3,561,463,684/27,680
6. Step 6: Final answer
   x = 128,665.60