Finding the Third Proportional to 6,123 and 13,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,123 : 13,222.50 = 13,222.50 : x
2. Step 2: Convert to fraction form
   6,123/13,222.50 = 13,222.50/x
3. Step 3: Cross multiply
   6,123x = 13,222.50 × 13,222.50
4. Step 4: Simplify right side
   6,123x = 174,834,506.25
5. Step 5: Solve for x
   x = 174,834,506.25/6,123
6. Step 6: Final answer
   x = 28,553.73