Finding the Third Proportional to 9,792 and 19,091.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,792 : 19,091.25 = 19,091.25 : x
2. Step 2: Convert to fraction form
   9,792/19,091.25 = 19,091.25/x
3. Step 3: Cross multiply
   9,792x = 19,091.25 × 19,091.25
4. Step 4: Simplify right side
   9,792x = 364,475,826.56
5. Step 5: Solve for x
   x = 364,475,826.56/9,792
6. Step 6: Final answer
   x = 37,221.80