Finding the Third Proportional to 6,123 and 14,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,123 : 14,533.50 = 14,533.50 : x
2. Step 2: Convert to fraction form
   6,123/14,533.50 = 14,533.50/x
3. Step 3: Cross multiply
   6,123x = 14,533.50 × 14,533.50
4. Step 4: Simplify right side
   6,123x = 211,222,622.25
5. Step 5: Solve for x
   x = 211,222,622.25/6,123
6. Step 6: Final answer
   x = 34,496.59