Finding the Third Proportional to 27,838 and 58,592

Step by Step Solution

1. Step 1: Write the proportion equation
   27,838 : 58,592 = 58,592 : x
2. Step 2: Convert to fraction form
   27,838/58,592 = 58,592/x
3. Step 3: Cross multiply
   27,838x = 58,592 × 58,592
4. Step 4: Simplify right side
   27,838x = 3,433,022,464
5. Step 5: Solve for x
   x = 3,433,022,464/27,838
6. Step 6: Final answer
   x = 123,321.45