Finding the Third Proportional to 7,851.75 and 9,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,851.75 : 9,613.50 = 9,613.50 : x
2. Step 2: Convert to fraction form
   7,851.75/9,613.50 = 9,613.50/x
3. Step 3: Cross multiply
   7,851.75x = 9,613.50 × 9,613.50
4. Step 4: Simplify right side
   7,851.75x = 92,419,382.25
5. Step 5: Solve for x
   x = 92,419,382.25/7,851.75
6. Step 6: Final answer
   x = 11,770.55