Finding the Third Proportional to 6,298.50 and 13,790.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,298.50 : 13,790.50 = 13,790.50 : x
2. Step 2: Convert to fraction form
   6,298.50/13,790.50 = 13,790.50/x
3. Step 3: Cross multiply
   6,298.50x = 13,790.50 × 13,790.50
4. Step 4: Simplify right side
   6,298.50x = 190,177,890.25
5. Step 5: Solve for x
   x = 190,177,890.25/6,298.50
6. Step 6: Final answer
   x = 30,194.16