Finding the Third Proportional to 6,300 and 13,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,300 : 13,733.50 = 13,733.50 : x
2. Step 2: Convert to fraction form
   6,300/13,733.50 = 13,733.50/x
3. Step 3: Cross multiply
   6,300x = 13,733.50 × 13,733.50
4. Step 4: Simplify right side
   6,300x = 188,609,022.25
5. Step 5: Solve for x
   x = 188,609,022.25/6,300
6. Step 6: Final answer
   x = 29,937.94