Finding the Third Proportional to 6,204.75 and 13,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,204.75 : 13,501.50 = 13,501.50 : x
2. Step 2: Convert to fraction form
   6,204.75/13,501.50 = 13,501.50/x
3. Step 3: Cross multiply
   6,204.75x = 13,501.50 × 13,501.50
4. Step 4: Simplify right side
   6,204.75x = 182,290,502.25
5. Step 5: Solve for x
   x = 182,290,502.25/6,204.75
6. Step 6: Final answer
   x = 29,379.19