Finding the Third Proportional to 6,388.50 and 13,538.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,388.50 : 13,538.25 = 13,538.25 : x
2. Step 2: Convert to fraction form
   6,388.50/13,538.25 = 13,538.25/x
3. Step 3: Cross multiply
   6,388.50x = 13,538.25 × 13,538.25
4. Step 4: Simplify right side
   6,388.50x = 183,284,213.06
5. Step 5: Solve for x
   x = 183,284,213.06/6,388.50
6. Step 6: Final answer
   x = 28,689.71