Finding the Third Proportional to 10,298 and 14,882

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298 : 14,882 = 14,882 : x
2. Step 2: Convert to fraction form
   10,298/14,882 = 14,882/x
3. Step 3: Cross multiply
   10,298x = 14,882 × 14,882
4. Step 4: Simplify right side
   10,298x = 221,473,924
5. Step 5: Solve for x
   x = 221,473,924/10,298
6. Step 6: Final answer
   x = 21,506.50