Finding the Third Proportional to 9,185.25 and 19,827.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.25 : 19,827.75 = 19,827.75 : x
2. Step 2: Convert to fraction form
   9,185.25/19,827.75 = 19,827.75/x
3. Step 3: Cross multiply
   9,185.25x = 19,827.75 × 19,827.75
4. Step 4: Simplify right side
   9,185.25x = 393,139,670.06
5. Step 5: Solve for x
   x = 393,139,670.06/9,185.25
6. Step 6: Final answer
   x = 42,801.19