Finding the Third Proportional to 12,816 and 27,606

Step by Step Solution

1. Step 1: Write the proportion equation
   12,816 : 27,606 = 27,606 : x
2. Step 2: Convert to fraction form
   12,816/27,606 = 27,606/x
3. Step 3: Cross multiply
   12,816x = 27,606 × 27,606
4. Step 4: Simplify right side
   12,816x = 762,091,236
5. Step 5: Solve for x
   x = 762,091,236/12,816
6. Step 6: Final answer
   x = 59,464.05