Finding the Third Proportional to 7,029.75 and 14,843.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,029.75 : 14,843.25 = 14,843.25 : x
2. Step 2: Convert to fraction form
   7,029.75/14,843.25 = 14,843.25/x
3. Step 3: Cross multiply
   7,029.75x = 14,843.25 × 14,843.25
4. Step 4: Simplify right side
   7,029.75x = 220,322,070.56
5. Step 5: Solve for x
   x = 220,322,070.56/7,029.75
6. Step 6: Final answer
   x = 31,341.38