Finding the Third Proportional to 10,456 and 19,248

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456 : 19,248 = 19,248 : x
2. Step 2: Convert to fraction form
   10,456/19,248 = 19,248/x
3. Step 3: Cross multiply
   10,456x = 19,248 × 19,248
4. Step 4: Simplify right side
   10,456x = 370,485,504
5. Step 5: Solve for x
   x = 370,485,504/10,456
6. Step 6: Final answer
   x = 35,432.81