Finding the Third Proportional to 9,456 and 13,535

Step by Step Solution

1. Step 1: Write the proportion equation
   9,456 : 13,535 = 13,535 : x
2. Step 2: Convert to fraction form
   9,456/13,535 = 13,535/x
3. Step 3: Cross multiply
   9,456x = 13,535 × 13,535
4. Step 4: Simplify right side
   9,456x = 183,196,225
5. Step 5: Solve for x
   x = 183,196,225/9,456
6. Step 6: Final answer
   x = 19,373.54