Finding the Third Proportional to 8,402 and 13,152

Step by Step Solution

1. Step 1: Write the proportion equation
   8,402 : 13,152 = 13,152 : x
2. Step 2: Convert to fraction form
   8,402/13,152 = 13,152/x
3. Step 3: Cross multiply
   8,402x = 13,152 × 13,152
4. Step 4: Simplify right side
   8,402x = 172,975,104
5. Step 5: Solve for x
   x = 172,975,104/8,402
6. Step 6: Final answer
   x = 20,587.37