Finding the Third Proportional to 27,966 and 59,184

Step by Step Solution

1. Step 1: Write the proportion equation
   27,966 : 59,184 = 59,184 : x
2. Step 2: Convert to fraction form
   27,966/59,184 = 59,184/x
3. Step 3: Cross multiply
   27,966x = 59,184 × 59,184
4. Step 4: Simplify right side
   27,966x = 3,502,745,856
5. Step 5: Solve for x
   x = 3,502,745,856/27,966
6. Step 6: Final answer
   x = 125,250.16