Finding the Third Proportional to 8,031.38 and 17,782.88

Step by Step Solution

1. Step 1: Write the proportion equation
   8,031.38 : 17,782.88 = 17,782.88 : x
2. Step 2: Convert to fraction form
   8,031.38/17,782.88 = 17,782.88/x
3. Step 3: Cross multiply
   8,031.38x = 17,782.88 × 17,782.88
4. Step 4: Simplify right side
   8,031.38x = 316,230,643.27
5. Step 5: Solve for x
   x = 316,230,643.27/8,031.38
6. Step 6: Final answer
   x = 39,374.41