Finding the Third Proportional to 5,460 and 13,152

Step by Step Solution

1. Step 1: Write the proportion equation
   5,460 : 13,152 = 13,152 : x
2. Step 2: Convert to fraction form
   5,460/13,152 = 13,152/x
3. Step 3: Cross multiply
   5,460x = 13,152 × 13,152
4. Step 4: Simplify right side
   5,460x = 172,975,104
5. Step 5: Solve for x
   x = 172,975,104/5,460
6. Step 6: Final answer
   x = 31,680.42