Finding the Third Proportional to 5,698.50 and 14,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,698.50 : 14,053.50 = 14,053.50 : x
2. Step 2: Convert to fraction form
   5,698.50/14,053.50 = 14,053.50/x
3. Step 3: Cross multiply
   5,698.50x = 14,053.50 × 14,053.50
4. Step 4: Simplify right side
   5,698.50x = 197,500,862.25
5. Step 5: Solve for x
   x = 197,500,862.25/5,698.50
6. Step 6: Final answer
   x = 34,658.39