Finding the Third Proportional to 7,564 and 12,143

Step by Step Solution

1. Step 1: Write the proportion equation
   7,564 : 12,143 = 12,143 : x
2. Step 2: Convert to fraction form
   7,564/12,143 = 12,143/x
3. Step 3: Cross multiply
   7,564x = 12,143 × 12,143
4. Step 4: Simplify right side
   7,564x = 147,452,449
5. Step 5: Solve for x
   x = 147,452,449/7,564
6. Step 6: Final answer
   x = 19,493.98