Finding the Third Proportional to 27,196 and 55,158

Step by Step Solution

1. Step 1: Write the proportion equation
   27,196 : 55,158 = 55,158 : x
2. Step 2: Convert to fraction form
   27,196/55,158 = 55,158/x
3. Step 3: Cross multiply
   27,196x = 55,158 × 55,158
4. Step 4: Simplify right side
   27,196x = 3,042,404,964
5. Step 5: Solve for x
   x = 3,042,404,964/27,196
6. Step 6: Final answer
   x = 111,869.58