Finding the Third Proportional to 7,745.63 and 17,906.06

Step by Step Solution

1. Step 1: Write the proportion equation
   7,745.63 : 17,906.06 = 17,906.06 : x
2. Step 2: Convert to fraction form
   7,745.63/17,906.06 = 17,906.06/x
3. Step 3: Cross multiply
   7,745.63x = 17,906.06 × 17,906.06
4. Step 4: Simplify right side
   7,745.63x = 320,627,074.25
5. Step 5: Solve for x
   x = 320,627,074.25/7,745.63
6. Step 6: Final answer
   x = 41,394.60