Finding the Third Proportional to 7,851.38 and 11,503.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,851.38 : 11,503.69 = 11,503.69 : x
2. Step 2: Convert to fraction form
   7,851.38/11,503.69 = 11,503.69/x
3. Step 3: Cross multiply
   7,851.38x = 11,503.69 × 11,503.69
4. Step 4: Simplify right side
   7,851.38x = 132,334,826.10
5. Step 5: Solve for x
   x = 132,334,826.10/7,851.38
6. Step 6: Final answer
   x = 16,854.99