Finding the Third Proportional to 13,827 and 28,302

Step by Step Solution

1. Step 1: Write the proportion equation
   13,827 : 28,302 = 28,302 : x
2. Step 2: Convert to fraction form
   13,827/28,302 = 28,302/x
3. Step 3: Cross multiply
   13,827x = 28,302 × 28,302
4. Step 4: Simplify right side
   13,827x = 801,003,204
5. Step 5: Solve for x
   x = 801,003,204/13,827
6. Step 6: Final answer
   x = 57,930.37