Finding the Third Proportional to 27,008 and 56,182

Step by Step Solution

1. Step 1: Write the proportion equation
   27,008 : 56,182 = 56,182 : x
2. Step 2: Convert to fraction form
   27,008/56,182 = 56,182/x
3. Step 3: Cross multiply
   27,008x = 56,182 × 56,182
4. Step 4: Simplify right side
   27,008x = 3,156,417,124
5. Step 5: Solve for x
   x = 3,156,417,124/27,008
6. Step 6: Final answer
   x = 116,869.71