Finding the Third Proportional to 7,704 and 12,362

Step by Step Solution

1. Step 1: Write the proportion equation
   7,704 : 12,362 = 12,362 : x
2. Step 2: Convert to fraction form
   7,704/12,362 = 12,362/x
3. Step 3: Cross multiply
   7,704x = 12,362 × 12,362
4. Step 4: Simplify right side
   7,704x = 152,819,044
5. Step 5: Solve for x
   x = 152,819,044/7,704
6. Step 6: Final answer
   x = 19,836.32