Finding the Third Proportional to 27,858 and 58,008

Step by Step Solution

1. Step 1: Write the proportion equation
   27,858 : 58,008 = 58,008 : x
2. Step 2: Convert to fraction form
   27,858/58,008 = 58,008/x
3. Step 3: Cross multiply
   27,858x = 58,008 × 58,008
4. Step 4: Simplify right side
   27,858x = 3,364,928,064
5. Step 5: Solve for x
   x = 3,364,928,064/27,858
6. Step 6: Final answer
   x = 120,788.57