Finding the Third Proportional to 17,723.81 and 23,649.47

Step by Step Solution

1. Step 1: Write the proportion equation
   17,723.81 : 23,649.47 = 23,649.47 : x
2. Step 2: Convert to fraction form
   17,723.81/23,649.47 = 23,649.47/x
3. Step 3: Cross multiply
   17,723.81x = 23,649.47 × 23,649.47
4. Step 4: Simplify right side
   17,723.81x = 559,297,372.16
5. Step 5: Solve for x
   x = 559,297,372.16/17,723.81
6. Step 6: Final answer
   x = 31,556.27