Finding the Third Proportional to 27,792 and 58,698

Step by Step Solution

1. Step 1: Write the proportion equation
   27,792 : 58,698 = 58,698 : x
2. Step 2: Convert to fraction form
   27,792/58,698 = 58,698/x
3. Step 3: Cross multiply
   27,792x = 58,698 × 58,698
4. Step 4: Simplify right side
   27,792x = 3,445,455,204
5. Step 5: Solve for x
   x = 3,445,455,204/27,792
6. Step 6: Final answer
   x = 123,972.91