Finding the Third Proportional to 23,409 and 33,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,409 : 33,466.50 = 33,466.50 : x
2. Step 2: Convert to fraction form
   23,409/33,466.50 = 33,466.50/x
3. Step 3: Cross multiply
   23,409x = 33,466.50 × 33,466.50
4. Step 4: Simplify right side
   23,409x = 1,120,006,622.25
5. Step 5: Solve for x
   x = 1,120,006,622.25/23,409
6. Step 6: Final answer
   x = 47,845.13