Finding the Third Proportional to 5,851.50 and 7,883.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,851.50 : 7,883.25 = 7,883.25 : x
2. Step 2: Convert to fraction form
   5,851.50/7,883.25 = 7,883.25/x
3. Step 3: Cross multiply
   5,851.50x = 7,883.25 × 7,883.25
4. Step 4: Simplify right side
   5,851.50x = 62,145,630.56
5. Step 5: Solve for x
   x = 62,145,630.56/5,851.50
6. Step 6: Final answer
   x = 10,620.46