Finding the Third Proportional to 10,098 and 13,841

Step by Step Solution

1. Step 1: Write the proportion equation
   10,098 : 13,841 = 13,841 : x
2. Step 2: Convert to fraction form
   10,098/13,841 = 13,841/x
3. Step 3: Cross multiply
   10,098x = 13,841 × 13,841
4. Step 4: Simplify right side
   10,098x = 191,573,281
5. Step 5: Solve for x
   x = 191,573,281/10,098
6. Step 6: Final answer
   x = 18,971.41