Finding the Third Proportional to 14,096 and 28,174

Step by Step Solution

1. Step 1: Write the proportion equation
   14,096 : 28,174 = 28,174 : x
2. Step 2: Convert to fraction form
   14,096/28,174 = 28,174/x
3. Step 3: Cross multiply
   14,096x = 28,174 × 28,174
4. Step 4: Simplify right side
   14,096x = 793,774,276
5. Step 5: Solve for x
   x = 793,774,276/14,096
6. Step 6: Final answer
   x = 56,312.02