Finding the Third Proportional to 9,238.75 and 19,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,238.75 : 19,580.50 = 19,580.50 : x
2. Step 2: Convert to fraction form
   9,238.75/19,580.50 = 19,580.50/x
3. Step 3: Cross multiply
   9,238.75x = 19,580.50 × 19,580.50
4. Step 4: Simplify right side
   9,238.75x = 383,395,980.25
5. Step 5: Solve for x
   x = 383,395,980.25/9,238.75
6. Step 6: Final answer
   x = 41,498.69