Finding the Third Proportional to 23,078 and 33,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,078 : 33,002.50 = 33,002.50 : x
2. Step 2: Convert to fraction form
   23,078/33,002.50 = 33,002.50/x
3. Step 3: Cross multiply
   23,078x = 33,002.50 × 33,002.50
4. Step 4: Simplify right side
   23,078x = 1,089,165,006.25
5. Step 5: Solve for x
   x = 1,089,165,006.25/23,078
6. Step 6: Final answer
   x = 47,194.95