Finding the Third Proportional to 8,008 and 17,152

Step by Step Solution

1. Step 1: Write the proportion equation
   8,008 : 17,152 = 17,152 : x
2. Step 2: Convert to fraction form
   8,008/17,152 = 17,152/x
3. Step 3: Cross multiply
   8,008x = 17,152 × 17,152
4. Step 4: Simplify right side
   8,008x = 294,191,104
5. Step 5: Solve for x
   x = 294,191,104/8,008
6. Step 6: Final answer
   x = 36,737.15