Finding the Third Proportional to 4,792.61 and 7,404.62

Step by Step Solution

1. Step 1: Write the proportion equation
   4,792.61 : 7,404.62 = 7,404.62 : x
2. Step 2: Convert to fraction form
   4,792.61/7,404.62 = 7,404.62/x
3. Step 3: Cross multiply
   4,792.61x = 7,404.62 × 7,404.62
4. Step 4: Simplify right side
   4,792.61x = 54,828,370.16
5. Step 5: Solve for x
   x = 54,828,370.16/4,792.61
6. Step 6: Final answer
   x = 11,440.20