Finding the Third Proportional to 6,277.50 and 13,633.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,277.50 : 13,633.31 = 13,633.31 : x
2. Step 2: Convert to fraction form
   6,277.50/13,633.31 = 13,633.31/x
3. Step 3: Cross multiply
   6,277.50x = 13,633.31 × 13,633.31
4. Step 4: Simplify right side
   6,277.50x = 185,867,209.72
5. Step 5: Solve for x
   x = 185,867,209.72/6,277.50
6. Step 6: Final answer
   x = 29,608.48