Finding the Third Proportional to 11,364 and 24,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,364 : 24,185.50 = 24,185.50 : x
2. Step 2: Convert to fraction form
   11,364/24,185.50 = 24,185.50/x
3. Step 3: Cross multiply
   11,364x = 24,185.50 × 24,185.50
4. Step 4: Simplify right side
   11,364x = 584,938,410.25
5. Step 5: Solve for x
   x = 584,938,410.25/11,364
6. Step 6: Final answer
   x = 51,472.93