Finding the Third Proportional to 7,656 and 12,340

Step by Step Solution

1. Step 1: Write the proportion equation
   7,656 : 12,340 = 12,340 : x
2. Step 2: Convert to fraction form
   7,656/12,340 = 12,340/x
3. Step 3: Cross multiply
   7,656x = 12,340 × 12,340
4. Step 4: Simplify right side
   7,656x = 152,275,600
5. Step 5: Solve for x
   x = 152,275,600/7,656
6. Step 6: Final answer
   x = 19,889.71