Finding the Third Proportional to 5,664 and 12,940

Step by Step Solution

1. Step 1: Write the proportion equation
   5,664 : 12,940 = 12,940 : x
2. Step 2: Convert to fraction form
   5,664/12,940 = 12,940/x
3. Step 3: Cross multiply
   5,664x = 12,940 × 12,940
4. Step 4: Simplify right side
   5,664x = 167,443,600
5. Step 5: Solve for x
   x = 167,443,600/5,664
6. Step 6: Final answer
   x = 29,562.78