Finding the Third Proportional to 18,164 and 24,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   18,164 : 24,409.50 = 24,409.50 : x
2. Step 2: Convert to fraction form
   18,164/24,409.50 = 24,409.50/x
3. Step 3: Cross multiply
   18,164x = 24,409.50 × 24,409.50
4. Step 4: Simplify right side
   18,164x = 595,823,690.25
5. Step 5: Solve for x
   x = 595,823,690.25/18,164
6. Step 6: Final answer
   x = 32,802.45