Finding the Third Proportional to 27,878 and 59,590

Step by Step Solution

1. Step 1: Write the proportion equation
   27,878 : 59,590 = 59,590 : x
2. Step 2: Convert to fraction form
   27,878/59,590 = 59,590/x
3. Step 3: Cross multiply
   27,878x = 59,590 × 59,590
4. Step 4: Simplify right side
   27,878x = 3,550,968,100
5. Step 5: Solve for x
   x = 3,550,968,100/27,878
6. Step 6: Final answer
   x = 127,375.28