Finding the Third Proportional to 7,970.81 and 17,456.72

Step by Step Solution

1. Step 1: Write the proportion equation
   7,970.81 : 17,456.72 = 17,456.72 : x
2. Step 2: Convert to fraction form
   7,970.81/17,456.72 = 17,456.72/x
3. Step 3: Cross multiply
   7,970.81x = 17,456.72 × 17,456.72
4. Step 4: Simplify right side
   7,970.81x = 304,737,029.52
5. Step 5: Solve for x
   x = 304,737,029.52/7,970.81
6. Step 6: Final answer
   x = 38,231.61