Finding the Third Proportional to 7,886.25 and 18,257.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,886.25 : 18,257.63 = 18,257.63 : x
2. Step 2: Convert to fraction form
   7,886.25/18,257.63 = 18,257.63/x
3. Step 3: Cross multiply
   7,886.25x = 18,257.63 × 18,257.63
4. Step 4: Simplify right side
   7,886.25x = 333,340,870.64
5. Step 5: Solve for x
   x = 333,340,870.64/7,886.25
6. Step 6: Final answer
   x = 42,268.62