Finding the Third Proportional to 7,814.25 and 17,058.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,814.25 : 17,058.38 = 17,058.38 : x
2. Step 2: Convert to fraction form
   7,814.25/17,058.38 = 17,058.38/x
3. Step 3: Cross multiply
   7,814.25x = 17,058.38 × 17,058.38
4. Step 4: Simplify right side
   7,814.25x = 290,988,157.64
5. Step 5: Solve for x
   x = 290,988,157.64/7,814.25
6. Step 6: Final answer
   x = 37,238.14