Finding the Third Proportional to 5,194 and 10,262

Step by Step Solution

1. Step 1: Write the proportion equation
   5,194 : 10,262 = 10,262 : x
2. Step 2: Convert to fraction form
   5,194/10,262 = 10,262/x
3. Step 3: Cross multiply
   5,194x = 10,262 × 10,262
4. Step 4: Simplify right side
   5,194x = 105,308,644
5. Step 5: Solve for x
   x = 105,308,644/5,194
6. Step 6: Final answer
   x = 20,275.06