Finding the Third Proportional to 6,277.50 and 13,613.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,277.50 : 13,613.06 = 13,613.06 : x
2. Step 2: Convert to fraction form
   6,277.50/13,613.06 = 13,613.06/x
3. Step 3: Cross multiply
   6,277.50x = 13,613.06 × 13,613.06
4. Step 4: Simplify right side
   6,277.50x = 185,315,470.63
5. Step 5: Solve for x
   x = 185,315,470.63/6,277.50
6. Step 6: Final answer
   x = 29,520.58