Finding the Third Proportional to 10,253.38 and 16,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,253.38 : 16,742.50 = 16,742.50 : x
2. Step 2: Convert to fraction form
   10,253.38/16,742.50 = 16,742.50/x
3. Step 3: Cross multiply
   10,253.38x = 16,742.50 × 16,742.50
4. Step 4: Simplify right side
   10,253.38x = 280,311,306.25
5. Step 5: Solve for x
   x = 280,311,306.25/10,253.38
6. Step 6: Final answer
   x = 27,338.44