Finding the Third Proportional to 7,814.44 and 17,111.09

Step by Step Solution

1. Step 1: Write the proportion equation
   7,814.44 : 17,111.09 = 17,111.09 : x
2. Step 2: Convert to fraction form
   7,814.44/17,111.09 = 17,111.09/x
3. Step 3: Cross multiply
   7,814.44x = 17,111.09 × 17,111.09
4. Step 4: Simplify right side
   7,814.44x = 292,789,462.48
5. Step 5: Solve for x
   x = 292,789,462.48/7,814.44
6. Step 6: Final answer
   x = 37,467.73