Finding the Third Proportional to 2,970 and 4,152

Step by Step Solution

1. Step 1: Write the proportion equation
   2,970 : 4,152 = 4,152 : x
2. Step 2: Convert to fraction form
   2,970/4,152 = 4,152/x
3. Step 3: Cross multiply
   2,970x = 4,152 × 4,152
4. Step 4: Simplify right side
   2,970x = 17,239,104
5. Step 5: Solve for x
   x = 17,239,104/2,970
6. Step 6: Final answer
   x = 5,804.41