Finding the Third Proportional to 6,292.50 and 13,836

Step by Step Solution

1. Step 1: Write the proportion equation
   6,292.50 : 13,836 = 13,836 : x
2. Step 2: Convert to fraction form
   6,292.50/13,836 = 13,836/x
3. Step 3: Cross multiply
   6,292.50x = 13,836 × 13,836
4. Step 4: Simplify right side
   6,292.50x = 191,434,896
5. Step 5: Solve for x
   x = 191,434,896/6,292.50
6. Step 6: Final answer
   x = 30,422.71