Finding the Third Proportional to 27,117 and 58,608

Step by Step Solution

1. Step 1: Write the proportion equation
   27,117 : 58,608 = 58,608 : x
2. Step 2: Convert to fraction form
   27,117/58,608 = 58,608/x
3. Step 3: Cross multiply
   27,117x = 58,608 × 58,608
4. Step 4: Simplify right side
   27,117x = 3,434,897,664
5. Step 5: Solve for x
   x = 3,434,897,664/27,117
6. Step 6: Final answer
   x = 126,669.53