Finding the Third Proportional to 5,855.25 and 12,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,855.25 : 12,802.50 = 12,802.50 : x
2. Step 2: Convert to fraction form
   5,855.25/12,802.50 = 12,802.50/x
3. Step 3: Cross multiply
   5,855.25x = 12,802.50 × 12,802.50
4. Step 4: Simplify right side
   5,855.25x = 163,904,006.25
5. Step 5: Solve for x
   x = 163,904,006.25/5,855.25
6. Step 6: Final answer
   x = 27,992.66