Finding the Third Proportional to 6,120 and 13,350

Step by Step Solution

1. Step 1: Write the proportion equation
   6,120 : 13,350 = 13,350 : x
2. Step 2: Convert to fraction form
   6,120/13,350 = 13,350/x
3. Step 3: Cross multiply
   6,120x = 13,350 × 13,350
4. Step 4: Simplify right side
   6,120x = 178,222,500
5. Step 5: Solve for x
   x = 178,222,500/6,120
6. Step 6: Final answer
   x = 29,121.32