Finding the Third Proportional to 7,940 and 10,614

Step by Step Solution

1. Step 1: Write the proportion equation
   7,940 : 10,614 = 10,614 : x
2. Step 2: Convert to fraction form
   7,940/10,614 = 10,614/x
3. Step 3: Cross multiply
   7,940x = 10,614 × 10,614
4. Step 4: Simplify right side
   7,940x = 112,656,996
5. Step 5: Solve for x
   x = 112,656,996/7,940
6. Step 6: Final answer
   x = 14,188.54