Finding the Third Proportional to 12,816 and 29,662

Step by Step Solution

1. Step 1: Write the proportion equation
   12,816 : 29,662 = 29,662 : x
2. Step 2: Convert to fraction form
   12,816/29,662 = 29,662/x
3. Step 3: Cross multiply
   12,816x = 29,662 × 29,662
4. Step 4: Simplify right side
   12,816x = 879,834,244
5. Step 5: Solve for x
   x = 879,834,244/12,816
6. Step 6: Final answer
   x = 68,651.24