Finding the Third Proportional to 10,219 and 14,931

Step by Step Solution

1. Step 1: Write the proportion equation
   10,219 : 14,931 = 14,931 : x
2. Step 2: Convert to fraction form
   10,219/14,931 = 14,931/x
3. Step 3: Cross multiply
   10,219x = 14,931 × 14,931
4. Step 4: Simplify right side
   10,219x = 222,934,761
5. Step 5: Solve for x
   x = 222,934,761/10,219
6. Step 6: Final answer
   x = 21,815.71