Finding the Third Proportional to 10,206.42 and 15,613.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206.42 : 15,613.38 = 15,613.38 : x
2. Step 2: Convert to fraction form
   10,206.42/15,613.38 = 15,613.38/x
3. Step 3: Cross multiply
   10,206.42x = 15,613.38 × 15,613.38
4. Step 4: Simplify right side
   10,206.42x = 243,777,722.85
5. Step 5: Solve for x
   x = 243,777,722.85/10,206.42
6. Step 6: Final answer
   x = 23,884.74