Finding the Third Proportional to 27,960 and 58,674

Step by Step Solution

1. Step 1: Write the proportion equation
   27,960 : 58,674 = 58,674 : x
2. Step 2: Convert to fraction form
   27,960/58,674 = 58,674/x
3. Step 3: Cross multiply
   27,960x = 58,674 × 58,674
4. Step 4: Simplify right side
   27,960x = 3,442,638,276
5. Step 5: Solve for x
   x = 3,442,638,276/27,960
6. Step 6: Final answer
   x = 123,127.26