Finding the Third Proportional to 7,873.50 and 12,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,873.50 : 12,802.50 = 12,802.50 : x
2. Step 2: Convert to fraction form
   7,873.50/12,802.50 = 12,802.50/x
3. Step 3: Cross multiply
   7,873.50x = 12,802.50 × 12,802.50
4. Step 4: Simplify right side
   7,873.50x = 163,904,006.25
5. Step 5: Solve for x
   x = 163,904,006.25/7,873.50
6. Step 6: Final answer
   x = 20,817.17