Finding the Third Proportional to 23,106.75 and 33,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,106.75 : 33,019.50 = 33,019.50 : x
2. Step 2: Convert to fraction form
   23,106.75/33,019.50 = 33,019.50/x
3. Step 3: Cross multiply
   23,106.75x = 33,019.50 × 33,019.50
4. Step 4: Simplify right side
   23,106.75x = 1,090,287,380.25
5. Step 5: Solve for x
   x = 1,090,287,380.25/23,106.75
6. Step 6: Final answer
   x = 47,184.80