Finding the Third Proportional to 6,385.50 and 13,736.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,385.50 : 13,736.25 = 13,736.25 : x
2. Step 2: Convert to fraction form
   6,385.50/13,736.25 = 13,736.25/x
3. Step 3: Cross multiply
   6,385.50x = 13,736.25 × 13,736.25
4. Step 4: Simplify right side
   6,385.50x = 188,684,564.06
5. Step 5: Solve for x
   x = 188,684,564.06/6,385.50
6. Step 6: Final answer
   x = 29,548.91