Finding the Third Proportional to 6,734 and 13,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,734 : 13,802.50 = 13,802.50 : x
2. Step 2: Convert to fraction form
   6,734/13,802.50 = 13,802.50/x
3. Step 3: Cross multiply
   6,734x = 13,802.50 × 13,802.50
4. Step 4: Simplify right side
   6,734x = 190,509,006.25
5. Step 5: Solve for x
   x = 190,509,006.25/6,734
6. Step 6: Final answer
   x = 28,290.62