Finding the Third Proportional to 27,628 and 59,134

Step by Step Solution

1. Step 1: Write the proportion equation
   27,628 : 59,134 = 59,134 : x
2. Step 2: Convert to fraction form
   27,628/59,134 = 59,134/x
3. Step 3: Cross multiply
   27,628x = 59,134 × 59,134
4. Step 4: Simplify right side
   27,628x = 3,496,829,956
5. Step 5: Solve for x
   x = 3,496,829,956/27,628
6. Step 6: Final answer
   x = 126,568.33