Finding the Third Proportional to 23,409 and 30,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,409 : 30,820.50 = 30,820.50 : x
2. Step 2: Convert to fraction form
   23,409/30,820.50 = 30,820.50/x
3. Step 3: Cross multiply
   23,409x = 30,820.50 × 30,820.50
4. Step 4: Simplify right side
   23,409x = 949,903,220.25
5. Step 5: Solve for x
   x = 949,903,220.25/23,409
6. Step 6: Final answer
   x = 40,578.55