Finding the Third Proportional to 6,123 and 10,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,123 : 10,546.50 = 10,546.50 : x
2. Step 2: Convert to fraction form
   6,123/10,546.50 = 10,546.50/x
3. Step 3: Cross multiply
   6,123x = 10,546.50 × 10,546.50
4. Step 4: Simplify right side
   6,123x = 111,228,662.25
5. Step 5: Solve for x
   x = 111,228,662.25/6,123
6. Step 6: Final answer
   x = 18,165.71