Finding the Third Proportional to 10,742.25 and 16,599.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,742.25 : 16,599.38 = 16,599.38 : x
2. Step 2: Convert to fraction form
   10,742.25/16,599.38 = 16,599.38/x
3. Step 3: Cross multiply
   10,742.25x = 16,599.38 × 16,599.38
4. Step 4: Simplify right side
   10,742.25x = 275,539,250.39
5. Step 5: Solve for x
   x = 275,539,250.39/10,742.25
6. Step 6: Final answer
   x = 25,650.05