Finding the Third Proportional to 6,236.72 and 13,638.09

Step by Step Solution

1. Step 1: Write the proportion equation
   6,236.72 : 13,638.09 = 13,638.09 : x
2. Step 2: Convert to fraction form
   6,236.72/13,638.09 = 13,638.09/x
3. Step 3: Cross multiply
   6,236.72x = 13,638.09 × 13,638.09
4. Step 4: Simplify right side
   6,236.72x = 185,997,601.13
5. Step 5: Solve for x
   x = 185,997,601.13/6,236.72
6. Step 6: Final answer
   x = 29,822.99