Finding the Third Proportional to 30,123 and 40,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,123 : 40,243.50 = 40,243.50 : x
2. Step 2: Convert to fraction form
   30,123/40,243.50 = 40,243.50/x
3. Step 3: Cross multiply
   30,123x = 40,243.50 × 40,243.50
4. Step 4: Simplify right side
   30,123x = 1,619,539,292.25
5. Step 5: Solve for x
   x = 1,619,539,292.25/30,123
6. Step 6: Final answer
   x = 53,764.21