Finding the Third Proportional to 6,364 and 13,821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,364 : 13,821.50 = 13,821.50 : x
2. Step 2: Convert to fraction form
   6,364/13,821.50 = 13,821.50/x
3. Step 3: Cross multiply
   6,364x = 13,821.50 × 13,821.50
4. Step 4: Simplify right side
   6,364x = 191,033,862.25
5. Step 5: Solve for x
   x = 191,033,862.25/6,364
6. Step 6: Final answer
   x = 30,017.89