Finding the Third Proportional to 10,822.50 and 13,829

Step by Step Solution

1. Step 1: Write the proportion equation
   10,822.50 : 13,829 = 13,829 : x
2. Step 2: Convert to fraction form
   10,822.50/13,829 = 13,829/x
3. Step 3: Cross multiply
   10,822.50x = 13,829 × 13,829
4. Step 4: Simplify right side
   10,822.50x = 191,241,241
5. Step 5: Solve for x
   x = 191,241,241/10,822.50
6. Step 6: Final answer
   x = 17,670.71