Finding the Third Proportional to 10,056 and 14,648

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056 : 14,648 = 14,648 : x
2. Step 2: Convert to fraction form
   10,056/14,648 = 14,648/x
3. Step 3: Cross multiply
   10,056x = 14,648 × 14,648
4. Step 4: Simplify right side
   10,056x = 214,563,904
5. Step 5: Solve for x
   x = 214,563,904/10,056
6. Step 6: Final answer
   x = 21,336.90