Finding the Third Proportional to 27,838 and 58,410

Step by Step Solution

1. Step 1: Write the proportion equation
   27,838 : 58,410 = 58,410 : x
2. Step 2: Convert to fraction form
   27,838/58,410 = 58,410/x
3. Step 3: Cross multiply
   27,838x = 58,410 × 58,410
4. Step 4: Simplify right side
   27,838x = 3,411,728,100
5. Step 5: Solve for x
   x = 3,411,728,100/27,838
6. Step 6: Final answer
   x = 122,556.51