Finding the Third Proportional to 6,324 and 13,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,324 : 13,822.50 = 13,822.50 : x
2. Step 2: Convert to fraction form
   6,324/13,822.50 = 13,822.50/x
3. Step 3: Cross multiply
   6,324x = 13,822.50 × 13,822.50
4. Step 4: Simplify right side
   6,324x = 191,061,506.25
5. Step 5: Solve for x
   x = 191,061,506.25/6,324
6. Step 6: Final answer
   x = 30,212.13