Finding the Third Proportional to 2,152 and 4,672

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152 : 4,672 = 4,672 : x
2. Step 2: Convert to fraction form
   2,152/4,672 = 4,672/x
3. Step 3: Cross multiply
   2,152x = 4,672 × 4,672
4. Step 4: Simplify right side
   2,152x = 21,827,584
5. Step 5: Solve for x
   x = 21,827,584/2,152
6. Step 6: Final answer
   x = 10,142.93