Finding the Third Proportional to 7,802.58 and 12,410.09

Step by Step Solution

1. Step 1: Write the proportion equation
   7,802.58 : 12,410.09 = 12,410.09 : x
2. Step 2: Convert to fraction form
   7,802.58/12,410.09 = 12,410.09/x
3. Step 3: Cross multiply
   7,802.58x = 12,410.09 × 12,410.09
4. Step 4: Simplify right side
   7,802.58x = 154,010,232.98
5. Step 5: Solve for x
   x = 154,010,232.98/7,802.58
6. Step 6: Final answer
   x = 19,738.38