Finding the Third Proportional to 17,814.94 and 38,257.31

Step by Step Solution

1. Step 1: Write the proportion equation
   17,814.94 : 38,257.31 = 38,257.31 : x
2. Step 2: Convert to fraction form
   17,814.94/38,257.31 = 38,257.31/x
3. Step 3: Cross multiply
   17,814.94x = 38,257.31 × 38,257.31
4. Step 4: Simplify right side
   17,814.94x = 1,463,621,959.72
5. Step 5: Solve for x
   x = 1,463,621,959.72/17,814.94
6. Step 6: Final answer
   x = 82,157.01