Finding the Third Proportional to 27,100 and 59,144

Step by Step Solution

1. Step 1: Write the proportion equation
   27,100 : 59,144 = 59,144 : x
2. Step 2: Convert to fraction form
   27,100/59,144 = 59,144/x
3. Step 3: Cross multiply
   27,100x = 59,144 × 59,144
4. Step 4: Simplify right side
   27,100x = 3,498,012,736
5. Step 5: Solve for x
   x = 3,498,012,736/27,100
6. Step 6: Final answer
   x = 129,077.96