Finding the Third Proportional to 27,196 and 55,157

Step by Step Solution

1. Step 1: Write the proportion equation
   27,196 : 55,157 = 55,157 : x
2. Step 2: Convert to fraction form
   27,196/55,157 = 55,157/x
3. Step 3: Cross multiply
   27,196x = 55,157 × 55,157
4. Step 4: Simplify right side
   27,196x = 3,042,294,649
5. Step 5: Solve for x
   x = 3,042,294,649/27,196
6. Step 6: Final answer
   x = 111,865.52