Finding the Third Proportional to 14,514.75 and 31,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,514.75 : 31,828.50 = 31,828.50 : x
2. Step 2: Convert to fraction form
   14,514.75/31,828.50 = 31,828.50/x
3. Step 3: Cross multiply
   14,514.75x = 31,828.50 × 31,828.50
4. Step 4: Simplify right side
   14,514.75x = 1,013,053,412.25
5. Step 5: Solve for x
   x = 1,013,053,412.25/14,514.75
6. Step 6: Final answer
   x = 69,794.75